11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook · 11.2 areas of trapezoids, rhombi,...
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11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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April 10, 2017
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11.2 Area of Trapezoids, Rhombi, and Kites
11.2 Area of Trapezoids, Rhombi, and Kites Page 131
Lesson Objectives Standards Lesson Notes
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11.2 Areas of Trapezoids, Rhombi, and Kites
Lesson Objectives
Press the tabs to view details.
Lesson NotesStandards
After this lesson, you should be able to successfully find the area of a trapezoid, rhombus and a kite. You will also use the area to find missing lengths.
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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Lesson Objectives Standards Lesson Notes
G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.G.MG.1 Use geometric shapes, their measures, and their properties to describe objects.G.MG.3 Apply geometric methods to solve design problems.
d2
d1
d2
d1
A trapezoid is a quadrilateral with exactly one pair of _____________________, called bases. The ________ of a trapezoid is the perpendicular distance between the __________. The area of a trapezoid is the product of one half the height and the sum of the lengths of the bases.
A rhombus is a parallelogram with all four ______________ congruent.
A kite is a quadrilateral with exactly two pairs of ____________________ sides congruent.
Area of a Rhombus
Area of a Kite
Area of a Trapezoid
h
b1
b2
1. 2.Find the area of each.
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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3.4.
Find the area of each.
5. 6.
7. 8.
Find the area of each.
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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9. A = 164 ft2 10. A = 340 cm2Find the missing length.
11. One diagonal of a kite is three times as long as the other diagonal. If the area of the kite is 54 square meters, what are the lengths of the diagonals?
12. A trapezoid has a height of 20 inches, a base of 15 inches, and an area of 400 square inches. What is the length of the other base?
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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On the Worksheet
Find the area of each quadrilateral.
1. 2.
3. 4.Find the area of each quadrilateral.
5.Find the area of each quadrilateral.
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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HOMEWORK11.2 Practice WS Areas of Trapezoids, Rhombi, and Kites
Find the area of each trapezoid, rhombus, or kite.
1. 2.
Find the area of each trapezoid, rhombus, or kite.
3. 4.Find the area of each trapezoid, rhombus, or kite.
5. 6.
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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Find the area of each trapezoid, rhombus, or kite.
7. 8.Find the area of each trapezoid, rhombus, or kite.
9. 10.
Find the area of each trapezoid, rhombus, or kite.
11. 12.Find each missing length.
13. A trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezoid?
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14. One diagonal of a kite is four times as long as the other diagonal. If the area of the kite is 72 square meters, what are the lengths of the diagonals?
15. A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square meters. What is the length of the other base?
16. A trapezoid has a height of 40 inches, a base of 15 inches, and an area of 2400 square inches. What is the length of the other base?
17. A trapezoid has base lengths of 19.5 and 24.5 centimeters with an area of 154 cm2. What is the height of the trapezoid?
11.2 areas of trapezoids, rhombi,and kites 2016 ink.notebook
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18. One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 400 square meters, what are the lengths of the diagonals?
b) Find the length of each diagonal.
a) Find the area of one rhombus.
19. DESIGN Mr. Hagarty used 16 congruent rhombishaped tiles to design the midsection of the backsplash area above a kitchen sink. The length of the design is 27 inches and the total area is 108 square inches.
20. CUTOUTS A trapezoid is cut from a 6inchby2inch rectangle. The length of one base is 6 inches. What is the area of the trapezoid?
21. SHARING Bernard has a birthday cake shaped like a kite. He needs to cut it into four pieces to share with three friends. He divides the cake as shown below. Which piece(s) is the largest? What is the area of the cake?
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22. Find d2 of a kite in which d1 = 16 cm and the area is 48 cm2. 23. Find the height of the rectangle in which the base is 2 ft and the area is 10 ft2.
24. Find the base of the triangle in which the height is 9 in and the area is 58.5 in2.
Answers:
1. 105 mm2 3. 123.75 in2 5. 442.75 cm2 7. 117.5 m2 9. 102 ft2 11. 20 cm2
13. h = 13 cm2 15. b2 = 18 m 17. H = 7 cm 19.a) 6.75 in2 b) 4.5 in, 3 in
21. pieces 3 & 4 are the largest, A = 30 in2 23. H = 5 ft