Geo 11.2 Areas of Trapezoids, Rhombi, and Kites
Name _________________________
Learning Objective: After this lesson, you should be able to successfully find the area of a parallelogram and
a triangle. You will also use the area to find missing lengths.
Standard: 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.
Find the area of each quadrilateral.
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11.2 Practice WS - Areas of Trapezoids, Rhombi, and Kites
Find the area of each trapezoid, rhombus, or kite.
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Find the area of each trapezoid, rhombus, or kite.
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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?
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?
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?
19. DESIGN Mr. Hagarty used 16 congruent rhombi-shaped 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.
a) Find the area of one rhombus.
b) Find the length of each diagonal.
20. CUTOUTS A trapezoid is cut from a 6-inch-by-2-inch 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?
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
13. h = 13 cm2
3. 123.75 in2
15. b2 = 18 m
5. 442.75 cm2
17. H = 7 cm
21. pieces 3 & 4 are the largest, A = 30 in2
7. 117.5 m2
19.a) 6.75 in2
23. H = 5 ft
9. 102 ft2
b) 4.5 in, 3 in
11. 20 cm2