Question

Area = 496 in.? 25 in. X X 37 in.

Answer 1

EXPLANATION

Given the Trapezoid, we know that the Area is given by the following equation:

`\text{Area}=((a+b))/(2)\cdot h`

Where a=37in, b=25in

Replacing terms:

`496=((37+25))/(2)\cdot x`

Multiplying both sides by 2:

`2\cdot496=(37+25)x`

Adding terms and removing the parentheses:

`2\cdot496=62x`

Multiplying terms:

992=62x

Dividing both sides by 62:

`(992)/(62)=x`

Switching sides:

`x=(992)/(62)`

Simplifying the fractions:

`x=16`

Answer: x is equal to 16 inches.