The area of a trapezoid is 144ft^2. If the height is 8ft and one of the bases Is 12ft, what is the length of the other base?

Respuesta :

Answer:

24 ft

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{h}{2}[/tex](a + b)

where h is the height and a, b  the parallel bases

let a = 12 and find b, that is

[tex]\frac{8}{2}[/tex](12 + b) = 144

4(12 + b) = 144 ( divide both sides by 4 )

12 + b =36 ( subtract 12 from both sides )

b = 24

The length of the other base is 24 ft