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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 m2
To find the area of the trapezoid-shaped backyard, we need to multiply the average of the two bases by the height.
The formula for the area of a trapezoid is: A = (b1 + b2) * h / 2
In the diagram, we can see that the longer base (b1) is 12 meters and the shorter base (b2) is 8 meters. The height (h) is given as 10 meters.
Plugging these values into the formula, we get:
A = (12 + 8) * 10 / 2
A = 20 * 10 / 2
A = 200 / 2
A = 100 square meters
Therefore, the correct answer is C) 100 m2.