Question

PLEASE HELP ME :(

If A=1/2 h (b1 +b2) is the formula for the area of a trapezoid, find the height of the trapezoid that has an area of 78 in ^2 and base lengths 5 in and 8 in.

Answer 1

A. 12in

Explanation:

Given parameters:

Area of trapezoid = 78in²

Base lengths = 5in and 8in

Unknown:

Height of the trapezoid = ?

Solution:

A =
`(1)/(2)` (b₁ + b₂)h

b₁ and b₂ are 5in and 8in respectively.

Input the parameters and solve for h;

78 =
`(1)/(2)` (5 + 8)h

Multiply both sides by 2;

156 = 13h

h = 12in

The height of the trapezoid is 12in