Question

Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 14 feet long, and the top edge of the wall is 10 feet long. If the wall is 9.5 feet tall, what is the area of the wall?

Answer 1

Answer: 114 square feet.

Explanation:

Since the bottom edge of the wall is 14 feet long, and the top edge of the wall is 10 feet long.

Also, the height of the trapezoidal room = 9.5 feet

Thus, the area of the trapezoid

=
`\frac{\text{ (Length of top edge+ length of top edge)}* \text{ height}}{2}`

=
`((10+14)* 9.5)/(2)`

=
`(24* 9.5)/(2)`

=
`(228)/(2)`

=
`144\text{ Square feet}`

Answer 2

114 square feet.

Explanation:

We have been given that Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 14 feet long, and the top edge of the wall is 10 feet long. The wall is 9.5 feet tall.

Since we know that area of trapezoid is half the sum of its parallel sides times height of the trapezoid.

`\text{Area of trapezoid}=(A+B)/(2)* h`, where,

A and B = parallel sides or bases of trapezoid,

h = Height of the trapezoid.

Upon substituting our given values in above formula we will get,

`\text{Area of the wall}=\frac{14\text{ feet}+10\text{ feet}}{2}* 9.5\text{ feet}`

`\text{Area of the wall}=\frac{24\text{ feet}}{2}* 9.5\text{ feet}`

`\text{Area of the wall}=12\text{ feet}* 9.5\text{ feet}`

`\text{Area of the wall}=114\text{ feet}^2`

Therefore, the area of the wall is 114 square feet.