tp5 rectangle triangles

8/13/2019 Tp5 Rectangle Triangles

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Topic Equations

Class 8

Calculate the area of each of the following rectangles by counting the number

of squares (assuming each square is 1cm2)

1.

2.

3.

4.

5.

6.

Calculate the area of each of the following shapes:

7.


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8.

9.

10.

11.

12.

13.

14.


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15.

16.

17.

18.

19. Which has the largest area?

20. Which figure has the largest area?


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21. Which figure has the largest area?

22. Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters

and 11 centimeters.

23. A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the

perimeter

24. Find the perimeter of a square with each side measuring 2 inches?

25. Find the perimeter of an equilateral triangle with each side measuring 4

centimeters.

26. Find the perimeter of the given figure?

27. Find the area of the given figure?

28. Find the perimeter of the given figure?

29. Find the area of the given figure?


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30. Find the length of side x

31. Find the perimeter of the rectangle?

32. Find the perimeter of the rectangle?

33. Find the perimeter of the square?

34. Find the area of the triangle?


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35. Find the length of the base?

36. Find the perimeter and area of a right triangle if one leg measures 5 cm and the

other leg measures 12 cm.

37. Find the perimeter of the figure?




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59. Find the area of a triangle with a base of 12 cm and a height of 7 cm.

60. Find the area of a triangle with a base of 30 cm and a height of 20 cm.

Find the perimeter and area of the given figure?

61.

62.

63.

64.


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65.

66.

67.

68.

69. The length and the breadth of a rectangular piece of land are 500 m and 300 mrespectively. Find its area and the cost of the land, if 1 m2 of the land costsRs.10,000

70. Find the area of a square park whose perimeter is 320 m?

71. Find the breadth of s rectangular plot of land, if its area is 440 m2and the lengthis 22 m. Also find its perimeter?

72. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find itsbreadth, and the area of the sheet?

73. The area of a square park is the same as that of a rectangular park. if the side of

the square park is 60 m and the length of the rectangular park is 90 m, find hebreadth of the rectangular park?


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74. A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. Ifthe same wire is rebent in the shape of a square, what will be the measure ofeach side? Also find which shape encloses more area?

75. The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm,find its length. Also find he area of the rectangle?

76. A door of length 2 m and breadth of 1 m is fitted in a wall. The length of the wallis 4.5 m and the breadth is 3.6 m. Find the cost of painting the wall, if the rate ofpainting the wall is Rs.20 per m2?

Find the area of the following triangles?

77.

78.

79.

80.

81. Find the missing values:

S. No. Base Height Area of triangle

a 15 cm ? 87 cm

b ? 31.4 mm 1256 mm

2

c 22 cm ? 170.5 cm


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82.ABC is a right angled triangle. AD is perpendicular to BC. If AB = 5 cm, BC =

13 cm and AC = 12 cm, Find the area of ABC. Also find the length of AD?

83.ABC is isosceles with AB = AC = 7.5 cm and BC = 9cm. The height AD from A

to BC is 6cm. Find the area of the ABC. What will be the height of CE?

84. A garden is 90 m long and 75 m wide. A path 5m wide is to be built outside and

around it. Find the area of the path?

85. A 3 m wide path runs outside and around a rectangular park of length 125 m and

breadth 65 m. Find the area of the path?

86. A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a

margin of 1.5 cm along each of its sides. Find the total area of the margin?

87. A verandah width 2.25 m is constructed all along outside a room which is 5.5 m

long and 4 m wide. Find the area of the verandah and the cost of cementing the

floor @ Rs.200 per m2

88. A path 1 m wide is built along the border and inside a square garden of side 30m.

Find the area of the path and the cost of planting carpet grass in the remaining

portion of the garden @ Rs.40 per m2.

89. Two cross roads, each of width 10 m cut at right angles through the centre of a

rectangular park of length 700 m and breadth 300 m and parallel to its sides.

find the area of the roads. and the area of the park excluding cross roads?

90. Through a rectangular field of length 90m and width 60 m, two roads areconstructed which are parallel to the sides and cut each other at right angles


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through the centre of the fields. If the width of each road is 3m, find the area

covered by the roads and the cost of constructing the roads @ Rs.110 per m2?

91. Calculate the total area of the given figure:

92. Find the total area of the given figure:

93. Find the total area of the given figure:

94. Calculate the area of the shaded region?

95. Calculate the area of the shaded region?


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96. In the given figure the rectangular mouth is 14 mm long and 4 mm wide. The

triangular nose has a base of 6 mm and height of 4 mm. Each small rectangular

eye has length 5 mm and width 2 mm. Find the area of the shaded region?

97. A bedroom is 3 m by 3 m. How many square metres of carpet is needed to cover

the floor of the room?

98. A bedroom is 2.6 m by 2.8 m. How many square metres of carpet is needed to

cover the floor of the room?

99. What is the area of a bedroom wall that is 2.6 m wide by 1.2 m high? Roughly

how much paint is needed for two coatings of the wall (A litre of paint will cover

15 m2 on average)?

100. A kitchen bench top is 1.1 m by 2.3 m. How many square metres of laminate

is needed to cover the top of the bench?

101. A rectangular paddock is 124 m by 110 m. What is the area of the paddock in

square metres and hectares (1 hectare = 10 000 m2)?

102. The builder wants to put a 2 m wide concrete path around the outside of a 12

m square building. What is the area of the path?

Find the area of the purple triangle inside each rectangle:


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103.

104.

105.

106.

107.

108.


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Calculate the area of each of the following triangles:

109.

110.

111.

112.

113. A triangular road sign has a base of 90 cm and a perpendicular height of 120

cm. What is the area of the road sign?

114. A scarf has a triangular shape with a base of 120 cm and a perpendicular

height of 50 cm. What area of material was used to make the scarf?

115. The front gable of a house has a triangular shape with a base of 4 m and a

perpendicular height of 2 m. What is the area of the gable?

116. A paddock, in the shape of a triangle, has a base of 200 m and a

perpendicular height of 50 m. What is the area of the paddock in square metres

and hectares (1 hectare = 10 000 m2)?

117. A paddock, in the shape of a triangle, has a base of 650 m and a

perpendicular height of 450 m. What is the area of the paddock in square metres

and hectares?

Calculate the area of each of the following composite shapes:


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118.

119.

120.

121.

122.

123.


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124.

125.

126.

127. A rectangular paddock has been roughly measured as 300 m 10 m by 450

m 10 m.

a) What is the largest possible area of the paddock?

b) What is the smallest possible area of the paddock?

c) If the value of land is Rs.18,000 per hectare, what is the largest value of the

paddock?

128. The cliff sign has a base of 0.8 m and a perpendicular height of 0.9 m. How

much sheet metal is needed to make 100 cliff warning signs?

129. A company has an offer to supply and install a laminate floor for Rs.54.50 per

square metre. How much will it cost to laminate the floor?

130. The total area of the purple rectangles in the middle is 16 m2. What is the total

area of the yellow rectangles?


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131. The yellow rectangle is 5 cm by 5 cm. What is the area of the triangle?

132. A farm is made up of 3 paddocks. What is the total area of the farm?

133. The area of the rectangle is 72 m2. What is the length of the rectangle?

134. If the perpendicular height of a triangle has been tripled, what has happened

to the area of the triangle?

135. If the length of a rectangle has been doubled and the width tripled, what has

happened to the area of the rectangle?

136. The two rectangles overlap. What is the area of the overlap?

137. A 3 cm border is cut from a rectangular sheet of paper so that the remaining

rectangle has an area one-quarter of the original rectangular sheet of paper. If

the length was 12 cm what was the breadth?


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138. A company has an offer to supply and install carpet at Rs.68.90 per square

metre. How much will it cost to carpet the lounge?

139. A rectangular paddock has been roughly measured as 400 m 10 m by 450

m 10 m. .a) What is the largest possible area of the paddock? b) What is the

smallest possible area of the paddock? c) If the value of land is Rs.28 000 per

hectare, what is the largest value of the paddock?

140. A square and a rectangular field with measurements as given in the figure

have the same perimeter. Which field has a larger area?

141. Mrs. Kaushik has a square plot with the measurement as shown in the figure.

She wants to construct a house in the middle of the plot. A garden is developed

around the house. Find the total cost of developing a garden around the house at

the rate of Rs 55 per m2.

142. The length of a rectangle is 2 times its width. The area of the rectangle is 72

cm2. Find the dimensions of the rectangle.

143. The length of a rectangular garden is 4m more than its width. The area of the

garden is 60 m2. Find the dimensions of the garden.


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144. The length of a rectangle is 3 centimeters more than the width. The area is

108 cm2. Find-the length and width of the rectangle.

145. One leg of a right triangle is one inch shorter than the other leg. If thehypotenuse is 5 cm, find the length of the shorter leg.

146. The perimeter of a triangle is 55in. The second side is twice as long as the

first side. The third side is five more than the second side. What are its

dimensions?

147. The perimeter of a triangle is 22cm. The first side is one more than twice as

long as the second side. The third side is three times as long as the first side.

What are its dimensions?

148. The perimeter of a triangle is 60cm. Side a of the triangle is three times as

long as side b. Side c is twice as long as side b. What are its dimensions?

149. The width of a rectangle is half as long as the length. If its perimeter is 15 cm,

find the dimensions of the rectangle.

150. The length of a rectangle is 1 more than 3 times the width. If its perimeter is

34 cm, find the dimensions of the rectangle.


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Answer Key:

1. 4 cm2

2. 9 cm2

3. 15 cm2

4. 12 cm2

5. 16 cm2

6. 18 cm2

7. 25 m2

8. 1600 m2

9. 99 mm2

10.432 m

2

11.21 km2

12.2.76 km2

13.1600 cm2

14.99 mm2

15.72 cm2

16.70 cm2

17.35 cm2

18.32 cm2

19.c has the largest area.

20.b has the largest area.

21.b has the largest area

22.25 cm

23.22 cm

24.8 inches

25.12 cm

26.20 cm

27.25 cm2

28.26 cm

29.40 cm2

30.11 cm

31.32 cm

32.32 cm


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33.48 cm

34.6 cm2

35.8 cm

36.30 cm2

37.36

38.23

39.34

40.30

41.34

42.44

43.22

44.28

45.38

46.12 cm2

47.25 cm2

48.30

49.24

50.22.5

51.18

52.48

53.35

54.27

55.28

56.20

57.8

58.70

59.42 cm2

60.300 cm2

61.46ft, 120 ft2

62.46 ft, 130 ft2

63.58 ft, 190 ft2

64.68m, 169 m2

65.38m, 68 m2

66.71m, 124 m2


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67.65m, 176m2

68.64m, 120m2

69.150000 m2, Rs.1500000000

70.6400 m2

71.20 m, 84 m2

72.15 cm, 525 cm2

73.40 m

74.31 cm, Square shape

75.35 cm, 1050 cm2

76.Rs.284

77.6 cm2

78.8 cm2

79.6 cm2

80.3 cm2

81.a) 11.6 cm, b) 80 mm, c) 15.5 cm

82.30 cm2, 4.6 cm

83.27 cm2, 7.2 cm

84.1750 m2

85.8125 m2

86.30 cm2

87.63 m2, Rs.12,600

88.116 m2, Rs.31,360

89.21000 m2, 200100 m2

90.441 m2, Rs.48,510

91.48m2

92.24 cm2

93.32 cm2

94.42 m2

95.500 m2

96.248 mm2

97.9 m2

98.7.28 m2

99.3.12 m2

, 0.416 litres

100. 2.53 m2


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101. 13640 m2, 1.364 hectare

102. 112 m2

103. 27 mm2

104. 75 cm2

105. 150 m2

106. 45.5 cm2

107. 36 m2

108. 27.5 mm2

109. 70 cm2

110. 35 mm2

111. 14 m2

112. 67.5 cm2

113. 5400 cm2

114. 5400 cm2

115. 4 m2

116. 0.5 hectares

117. 146250 m2, 14.625 hectares

118. 81 m2

119. 486 cm2

120. 177 cm2

121. 105 m2

122. 200 cm2

123. 3570 cm2

124. 2138.5 cm2

125. 180.5 m2

126. 209.5 cm2

127. 1,42,600 m2, 1,27,600 m2, Rs.2,56,680

128. 36 m2

129. 23.13 m2, Rs.1261

130. 84 m2

131. 4.5 cm2

132. 9.75 ha.

133. 6 m

134. tripled


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135. 6 times larger

136. 2a2

137. 12 cm

138. Rs.565

139. 188600 m2, 171600 m2, Rs.5,28,080

140. a would have larger area.

141. Rs 17,875

142. length = 12 cm and width = 6 cm

143. length = 10 m and width = 6 m

144. length = 12 cm and width = 9 cm

145. 3 cm

146. 10, 20 and 25

147. 5, 2, and 15

148. 30, 10 and 20

149. 5 and 2.5 cm

150. 4 and 13

tp5 rectangle triangles

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