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Name _______________________ Date ___________________

Area of Rectangles

Classwork

What is the area of the following rectangles/squares?

1) 8 by 6 = _________ 4) 5 by 3 = _________2) 9 by 9 = _________ 5) 7 by 3 = _________3) 2 by 8 = _________ 6) 6 by 6 = _________

7) On the grid paper sketch two rectangles one with the dimensions 4 x 6 and the other 2 x 5. Label the area of each rectangle.

NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org

Homework

8) The area of a rectangle or square is always stated in what units of measurement?

a. cubed c. feetb. squared d. rectangle

9) The area of a rectangle gives the dimensions of the inside of the shape of the area around the outside of the shape? True or False ____________

What is the area of the following rectangles/squares?

10) 10 by 9 = _______ 11) 11 by 11 = _______

12) Sketch one square and one rectangle on the grid paper. Label the side measurements and area of each.


Perimeter of Rectangles

Classwork

13) The perimeter of a polygon is the sum of each of the lengths of the sides. True or False ______________

14) When knowing the length of one side of a square you can know the perimeter of the square. True or False _________?

15) What is the perimeter (P) of the following rectangles?

Write your answers inside the shapes


Homework

16) Sketch the following shapes on the grid paper and label each one: Rectangle A 9 x 12

Rectangle B 4 x 9

Square C 5 x 5

Perimeter Area

Rectangle A ____________ __________ square units

Rectangle B ____________ __________ square units

Square C ____________ __________ square units


Area and Perimeter Word Problems

Classwork

17) The large square is divided into unit squares. Each is 1 centimeter long and 1 centimeter high. Draw a rectangle that has the same area, but a different perimeter. What is the area and perimeter of your rectangle?

Area ______cm squared

Perimeter ________ cm

18) Max is helping his dad put a fence around their rectangular garden patch. The long side of the patch measures 21 feet. The shorter side measures 9 feet. What is the length of fence that Max and his dad need? __________________________

19) Max puts 24 feet of fencing around his flowerbed. It is in the shape of a rectangle. If the length of the flowerbed is 8 feet, what is the width?

_____________________


Homework

20) Measure the sides of this rectangle in inches and centimeters to the closet measurement.

inches __________________

centimeters _____________

What is the perimeter and area?

Perimeter Inches _______________ Centimeters _________

Area Inches _______________ Centimeters _________

21) Issac is painting the floor of his basement. If the floor measures 12 feet by 20 feet how many square feet is the floor? _____

If each gallon of paint covers 15 square feet, how many gallons of paint will Issac need? ___________________

22) Issac’s garage is 264 square feet. If the length is 12 feet, what is the width of the garage? _______________


23) For the following questions determine whether the situation is asking for perimeter (P) or area (A) and circle the correct answer. Then find the perimeter or area. If needed draw a figure to help you. Remember to label the units correctly.

a) Charles wants to build a picture frame for one of his paintings. The painting is 26 inches tall and 23 inches wide. How many inches of frame does he need?

P or A _______________________

b) In baseball, the distance between bases is 90 feet. Ben hits a home run and had to run around all four bases. How far did Ben run?

P or A __________________

c) Tom is putting a wallpaper border around the top of the wall in his bedroom. His bedroom is 4 yards long and 3 yards wide. How many yards of border does Tom need?

P or A _____________________

d) Mary is putting a new floor in her kitchen. Her floor is 10 meters long and 9 meters wide. How much flooring does Mary need?

P or A _____________________


Protractor

Classwork

24) Measure these angles with a protractor and state the degrees and what type of angle they are.


Homework

25) Label the above protractor with the degrees going 0 - 180.


Types of Angles

Classwork

26) Draw and label three acute angles.

27) Draw and label three obtuse angles.

28) Draw a straight angle.

29) Draw a right angle.


Homework

30) Find different types of angles in your surroundings and classify them as acute, obtuse, straight or right. Find three types of each and fill in the chart.

Acute Obtuse Straight Right


Lines, Line Segments & Rays

Classwork

31) Correctly label each of the below as a line, ray or line segment.

______________

______________

______________

______________

______________


Homework

32) Correctly name each line, line segment or ray.

______________

______________

______________

______________


Types of Lines

Classwork

33) Draw a line parallel to the following line.

34) Draw a line perpendicular to the following line.

Homework

35) List three sets or parallel lines in your surroundings.

36) List three sets of perpendicular lines in your surroundings.


Lines of Symmetry

Classwork

37) Draw all of the lines of symmetry in the following shapes. If there is not line of symmetry write none under the shape.


Homework

38) Draw four objects from your surroundings that have a least one line of symmetry. Draw all of the lines of symmetry.

Unit ReviewMultiple Choices – Circle the letter to the correct answer.

1. Michael makes stained glass windows. He used this piece of stained glass in one of the windows. How many right angles does this appear to have?

a. 3

b. 2

c. 1

d. 0

2. Which of the following terms best describes this figure?

a. Line


b. Ray

c. Line segment

d. Angle

3. Mrs. Baldwin drew an obtuse angle on the chalkboard. Which of the following could be the angle she drew?

a. b.

c. d.

4. Sam and Melissa are discussing properties of lines during math class. Which statement(s) best describes perpendicular lines?

a. They cross each other at one point.

b. They always form obtuse angles.

c. They never cross each other.

d. They only form right angles.

5. Jim drew a figure. Which two sides of the figure appear to form a right angle?

A

B C ___ ___ a. AB and BB


___ ___b. AC and AB

___ ___

c. AC and CB___ ___

d. AB and BC

6. Lisa cut a piece of paper into a shape of an equilateral triangle. Which of the following could be her triangle?

a. c.

b. d.

7. How many acute angles does an obtuse triangle have?

a. 0

b. 1

c. 2

d. 3

8. Tammy wrote the first letter of her name on a piece of paper. How many lines of symmetry doe the letter T appear to have?

a. 0

b. 1

c. 2

d. 3T

9. The figure shown has 6 sides of equal length. How many lines of symmetry does the figure have?


a. 4

b. 6

c. 8

d. 10

10. Ron drew the following figures. Which figure has more than one line of symmetry?

a. b. c. d.

11. Dave is painting the ceiling of his bedroom. The wall to wall carpeting is 144 square feet. If the length of the room in 16 feet, what is the width?

a. 8 feet

b. 12 feet

c. 9 feet

d. 16 feet

12. Paul is installing a fence around a new flower garden for his mom. His mom wants the garden to be 9 feet long and 6 feet wide. How many feet of fencing will Paul need to completely enclose the garden?

a. 18 feet

b. 24 feet

b. 30 feet

c. 45 feet

13. Catherine is putting a border around the floor in her bedroom. The length of the bedroom is 14 feet and the width is 12 feet. What is the length of border that she needs?

a. 52 square yards

b. 168 square yards

c. 52 yards

d. 168 yards

14. Bob’s square bedroom is about to get carpeted. One wall measures 11 feet. How much carpeting is needed to cover the floor?

a. 11 square yards b. 22 square yards


c. 44 square yards

d. 121 square yards


Short Answer – Write the answer on the line.

15. Jennifer draws a line through the trapezoid. Is the line a line of symmetry? _________

16. Claudia drew the figure below. Draw the lines of symmetry on Claudia’s figure.

17. a. Use your protractor to measure this angle in degrees. __________

b. Is the angle acute, obtuse, right or straight? __________________


18. a. Use your protractor to measure this angle in degrees. __________

b. Is the angle acute, obtuse, right or straight? __________________


Extended Constructed Response – Answer all parts of the question.

19. Craig is making a rectangular garden. The garden is 5 feet long by 3 feet wide.

Draw Craig’s garden on the grid.

= 1 square foot

Craig has 15 feet of fencing. Will he have enough to completely fence the garden? Show your

work or explain your answer.

Craig also wants to cover his entire garden with plastic to control weeds. How much plastic does Craig need to cover the entire garden?

Show your work or explain your answer.


Answer Key

1. 48 units squared2. 81 units squared3. 16 units squared4. 15 units squared5. 21 units squared6. 36 units squared 7.

8. b9. False

10. 90 units squared11. 121 units squared12. Answers will vary13. True14. True15.

16.

Rectangle A: 42, 108 Rectangle B: 26, 36 Rectangle C: 20, 25

17. Drawn rectangles will varyPerimeter will varyArea = 20 units squared

18. 60 feet19. 4 feet20. 234 & 214 in, 6 910 & 5 810 cm

P= 10 in, 25 410 cm

A= 6 316 sq. in, 40 150 sq. cm21. 240 square feet

16 gallons22. 22 feet23. a. P, 98 inches

b. P, 360 feet c. P, 14 yards


10 units squared

2x5

4x6

24 units squared

98

10

110

72

6

18

14

14

22

4

C

BA

d. A, 90 square meters

24.

25.

26. Answers will vary.Angles < 90°

27. Answers will vary. Angles > 90°

28. Angle = 180° (straight line)29. Angle = 90°

(make sure angle box is drawn)

30. Charts will vary31. line segment

lineray rayline

32. line segment ABline ABray ABray BA

33.

34.

35. Answers will vary36. Answers will vary37.

NJ Center for Teaching and Learning ~ 25 ~ www.njctl.org 168.75°

146.25°123.75°

101.25° 78.75°56.25°

33.75°

11.25°

157.5°

112.5° 67.5°

22.5°

45°135°

180°

90°

0°

None

120° obtuse

112.5° obtuse

97° obtuse143° obtuse

32° acute

37° acute

69° acute44° acute

38. Answers will vary

Unit Review

1. A2. B3. B4. A, D5. D6. A7. C8. B9. B10. C11. C12. B13. C14. D15. No16.

17. Acute18. Obtuse

B. No, the perimeter is 16 ft.C. 15 sq. feet is needed for covering the garden.


19.

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