Use the image to answer the question.

An illustration shows a handbag in the shape of a trapezoid. The shorter base on the top measures 31 centimeters. The longer base on the bottom measures 43 centimeters, and the vertical height labeled outside the trapezoid on the right side measures 25 centimeters.

What is the area of the trapezoid-shaped purse?

1 answer

The area of a trapezoid can be calculated using the formula:

Area = (1/2) * (a + b) * h

where a and b are the lengths of the two bases, and h is the height.

In this case,
a = 31 cm
b = 43 cm
h = 25 cm

Plugging in the values, we get:

Area = (1/2) * (31 + 43) * 25
Area = (1/2) * 74 * 25
Area = 37 * 25
Area = 925 square centimeters

Therefore, the area of the trapezoid-shaped purse is 925 square centimeters.
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