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?
A: 256 ft²
B: 38 ft²
C: 90 ft²
D: 128 ft²***
no, it would be convenient, but do you no lasting good.
your answer here is correct. I hope you worked it out for yourself
To find the area of the trapezoid-shaped wall, we can use the formula:
Area = (1/2) × (a + b) × h
where:
- a and b are the lengths of the parallel bases
- h is the height of the trapezoid
In this case, the bottom edge of the wall is the longer base (a = 22.5 ft), the top edge is the shorter base (b = 9.5 ft), and the height is 8 ft.
Using the formula, plug in the values:
Area = (1/2) × (22.5 ft + 9.5 ft) × 8 ft
= (1/2) × 32 ft × 8 ft
= 16 ft × 8 ft
= 128 ft²
Therefore, the area of the wall is 128 ft². So, the correct answer is D.