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In Mathematics / Middle School | 2014-04-23

Jorge plans to paint a bedroom wall that is shaped like a trapezoid.

The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long.

If the wall is 8 feet tall, what is the area of the wall?

Asked by applejack

Answer (3)

A=1/2 bh A= 22.5*9.5= 213.75 / 2 A =106.875
i hope this is what you wanted because in my school the form of the question is different

Answered by ska | 2024-06-10

**** Copy and pasted NOT my answer
Length of the bottom edge of the wall (a) = 22.5 feet
Length of the top edge of the wall (b) = 9.5 feet
Height of the wall (h) = 8 feet
Then
Area of the wall = [(a + b)/2] * h
** = [ (22.5 + 9.5)/2] * 8 square feet**
** = (32/2) * 8 square feet**
** = 16 * 8 square feet**
** = 128 square feet**
As can be seen from the above deduction, the area of the wall is 128 square feet. I hope the procedure is not complicated for you to understand. You can normally use this method in future for solving similar type of problems without requiring any additional help.
(128 ft squared is the answer)

Answered by Majestyalways22 | 2024-06-12

The area of the trapezoidal wall can be calculated using the formula for the area of a trapezoid, which results in an area of 128 square feet. This is calculated by averaging the lengths of the two parallel sides and multiplying by the height. Specifically, with lengths of 22.5 feet and 9.5 feet and a height of 8 feet, the area computes to 128 square feet.
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Answered by Majestyalways22 | 2025-01-22