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WorksheetsUnit 6: Relations in Geometry (Part 1)
Total questions: 22
Worksheet time: 11mins
Name
Class
Date
1.
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 23 feet, and the length of the other base is 44 feet. The height is 22 feet. What is the area of this section of the deck?
A = ½ h (b1 + b2)
A = ½ h (b1 + b2)
a)
22,264 square feet
b)
737 square feet
c)
6.08 square feet
d)
89 square feet
2.
Find the area of the rhombus.
d1 = 25 m; d2 = 12 m
A = ½ ⋅ d1 ⋅ d2
d1 = 25 m; d2 = 12 m
A = ½ ⋅ d1 ⋅ d2
a)
150 square meters
b)
300 square meters
c)
37 square meters
d)
600 square meters
3.
Find the area of the rhombus.
d1 = 5.5 in.; d2 = 22 in.
A = ½ ⋅ d1 ⋅ d2
d1 = 5.5 in.; d2 = 22 in.
A = ½ ⋅ d1 ⋅ d2
a)
60.5 inches square
b)
121 inches square
c)
242 square inches
d)
30 square inches
4.
Find the area of the parallelogram.
A = bh
A = bh
a)
96 cm2
b)
22 cm2
c)
2.67 cm2
d)
44 cm2
5.
Find the area of the trapezoid.
A = ½ h (b1 + b2)
A = ½ h (b1 + b2)
a)
1512 inches squared
b)
756 inches squared
c)
47,520 inches squared
d)
138 inches squared
6.
Find the area of the rhombus.
a)
108 meters squared
b)
54 meters squared
c)
21 meters squared
d)
10.5 meters squared
7.
The seat of a bench is in the shape of a trapezoid with bases of 4 feet and 3 feet and a height of 3.5 feet. What is the area of the seat?
A = ½ h (b1 + b2)
A = ½ h (b1 + b2)
a)
12.25 feet squared
b)
13 feet squared
c)
42 feet squared
d)
331 feet squared
8.
A window in the shape of a parallelogram has a base of 34 inches and a height of 71 inches. What is the area of the window?
A = bh
A = bh
a)
2414 inches square
b)
105 inches square
c)
1207 inches square
d)
4828 inches square
9.
Find the area of the triangle.
A = ½bh
A = ½bh
a)
153 inches square
b)
76.5 inches square
c)
306 inches square
d)
26.5 inches square
10.
Amy needs to order a shade for a triangular-shaped window that has a base of 8 feet and a height of 4 feet. What is the area of the shade?
a)
16 feet square
b)
32 feet square
c)
12 feet square
d)
64 feet square
11.
Find the area of the triangle.
a)
390 feet square
b)
780 feet square
c)
56 feet square
d)
1560 feet square
12.
Find the area of the triangle.
A = ½bh
A = ½bh
a)
1540 feet square
b)
770 feet square
c)
92 feet square
d)
3080 feet square
13.
A right triangle has legs that are 15 in. and 23 in. long. What is the area of the triangle?
a)
172.5 inches square
b)
345 inches square
c)
38 inches square
d)
76 inches square
14.
The front part of a tent has the dimensions shown in the diagram. What is the area of this part of the tent?
a)
70 feet square
b)
35 feet square
c)
21 feet square
d)
140 feet square
15.
A right triangle has an area of 18 square inches.
If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle?
If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle?
a)
6 inches
b)
12 inches
c)
36 inches
d)
108 inches
16.
Renee is sewing a quilt whose pattern contains right triangles. Each quilt piece has a height of 8 in. and an area of 28 in2.
How long is the base of each quilt piece?
How long is the base of each quilt piece?
a)
7 inches
b)
9 inches
c)
5 inches
d)
56 inches
17.
The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 28 feet and 6 feet long. It has an area of 51 square feet.
What is the height of the cross section?
A = ½ h (b1 + b2)
What is the height of the cross section?
A = ½ h (b1 + b2)
a)
3 feet
b)
6 feet
c)
102 feet
d)
34 feet
18.
Find the area of the polygon.
Note that the figure is not drawn to scale.
Note that the figure is not drawn to scale.
a)
560 meters square
b)
43 meters square
c)
20 meters square
d)
280 meters square
19.
Find the area of the polygon.
a)
175 inches square
b)
100,000 inches square
c)
20,000 inches square
d)
55 inches square
20.
The diagram shows the floor plan of a hotel lobby. Carpet costs $4 per square foot.
How much will it cost to carpet the lobby?
How much will it cost to carpet the lobby?
a)
$89
b)
$356
c)
$504
d)
$2016
21.
Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.
How much will Alice pay for carpet that costs $3.50 per square foot?
How much will Alice pay for carpet that costs $3.50 per square foot?
a)
$771.75
b)
$1,588,261.50
c)
$245.00
d)
$794,130.75
22.
Cho is making banners shaped like triangles out of a rectangular piece of fabric. She cuts out two triangular banners as shown.
What is the area of a triangular banner?
What is the area of a triangular banner?
a)
1500 inches square
b)
300 inches square
c)
37.5 inches square
d)
40 inches square
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