EXPLANATION
Given the Trapezoid, we know that the Area is given by the following equation:
[tex]\text{Area}=\frac{(a+b)}{2}\cdot h[/tex]
Where a=37in, b=25in
Replacing terms:
[tex]496=\frac{(37+25)}{2}\cdot x[/tex]
Multiplying both sides by 2:
[tex]2\cdot496=(37+25)x[/tex]
Adding terms and removing the parentheses:
[tex]2\cdot496=62x[/tex]
Multiplying terms:
992=62x
Dividing both sides by 62:
[tex]\frac{992}{62}=x[/tex]
Switching sides:
[tex]x=\frac{992}{62}[/tex]
Simplifying the fractions:
[tex]x=16[/tex]
Answer: x is equal to 16 inches.
