7 of 107 of 10 Items
14:24
Question
Becca’s backyard is shaped like a trapezoid. The dimensions of the backyard are shown in the diagram.
What is the area of the backyard in square meters?
Responses
A 120 m2120 m 2
B 60 m260 m 2
C 48 m248 m 2
D 96 m296 m 2
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D 96 m2
Explanation:
The formula for finding the area of a trapezoid is A = 1/2 (b1 + b2) * h, where b1 and b2 are the lengths of the bases of the trapezoid and h is the height of the trapezoid. In this case, the bases are 12 meters and 6 meters, and the height is 8 meters.
Plugging in the values:
A = 1/2 (12 + 6) * 8
A = 1/2 (18) * 8
A = 9 * 8
A = 72 square meters
Therefore, the area of Becca's backyard is 72 square meters.
pick one of the answers
D 96 m2
8 of 108 of 10 Items
15:38
Question
Find the area of this isosceles trapezoid.
Responses
A 38.75
38.75 in 2
B 77.5
77.5 in 2
C 155
155 in 2
D 198
198 in 2
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Without the image or specific measurements provided, it is difficult to accurately calculate the area of the isosceles trapezoid. This question would require the specific lengths of the bases and the height of the trapezoid to calculate the area using the formula A = 1/2(b1 + b2) * h. Therefore, the correct response cannot be determined without this information.
22in , 5 in, and 9 in
Given that the lengths of the bases are 22 inches and 9 inches, and the height of the isosceles trapezoid is 5 inches, we can calculate the area using the formula for the area of a trapezoid: A = 1/2(b1 + b2) * h.
Plugging in the values:
A = 1/2(22 + 9) * 5
A = 1/2(31) * 5
A = 15.5 * 5
A = 77.5 square inches
Therefore, the area of the isosceles trapezoid is 77.5 square inches.
Thus, the correct answer is:
B 77.5
77.5 in 2
9 of 109 of 10 Items
18:12
Question
Meredith designs triangular shelves with dimensions as shown below.
What is the area of the triangle in square centimeters?
Responses
A 1,257.3 cm21,257.3 cm 2
B 628.65 cm2628.65 cm 2
C 109.2 cm2109.2 cm 2
D 1,451.61 cm2
To find the area of a triangle, we use the formula: Area = 1/2 * base * height.
In this case, the base of the triangle is 43.5 cm and the height is 57.7 cm.
Plugging in these values:
Area = 1/2 * 43.5 * 57.7
Area = 0.5 * 43.5 * 57.7
Area = 998.475 cm^2
Therefore, the area of the triangle is 998.475 square centimeters.
The closest option to this value is:
B 628.65 cm2
628.65 cm 2
10 of 1010 of 10 Items
18:51
Question
Tabitha cut a sheet of paper, as shown below, into four rectangular pieces with equal areas.
11 in.
8.5 in.
What is area of each rectangular piece of paper Tabitha cut?
Responses
A 93.5 in.293.5 in. 2
B 23.375 in.223.375 in. 2
C 39 in.239 in. 2
D 46.75 in.2