Question

A swing set is going to be placed over a region of mulch that is shaped like a trapezoid. The bases of the trapezoid have a length of 12 and 15 feet, and the perpendicular distance between the bases is 8.5 feet. What is the area of the region under the swing set? If necessary, round your answer to the nearest tenth.

Answer 1

114.8 is the answer

Explanation:

got it on edgen

Answer 2

`114.8\ ft^(2)`

Explanation:

we know that

The area of a trapezoid is equal to

`A=(1)/(2)(b1+b2)h`

In this problem we have

`b1=12\ ft`

`b2=15\ ft`

`h=8.5\ ft` ----> the height of the trapezoid is the perpendicular distance between the bases

substitute the values

`A=(1)/(2)(12+15)(8.5)`

`A=(1)/(2)(27)(8.5)=114.75\ ft^(2)`

Round to the nearest tenth

`114.75=114.8\ ft^(2)`