Question

Gabrielle has a decal shaped like a trapezoid 1 base is 12 in in another is 7 in the area of it is 76 in whats the height

Answer 1

h=8in

Explanation:

Answer 2

The area of a trapezoid is found by the following formula:


`A = (a+b)/(2) h`

a represents base 1. b represents base 2. h represents the height. A is the total area of the trapezoid.

We are given the values for the area and both bases of the trapezoid. Plug these into the formula:


`A = 76; a = 12; b = 7`

`76 = (12+7)/(2) h`

Solve the fraction:


`(12+7)/(2) = (19)/(2) = 9.5`

`76 = 9.5h`

Divide both sides by 9.5 to get h by itself:


`76 / 9.5 = 8`

`h = 8`

The height of the trapezoid is 8 inches.