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

Trapezoid area = ((sum of the bases) ÷ 2) • height

height = 2 * area / sum of the bases
height =2 * 76 / (12 + 7)
height = 152 / 19
height = 8 inches

Source:http://www.1728.org/quadtrap.htm

Answer 2

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

$A = \frac{a+b}{2} h$

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:

$A = 76; a = 12; b = 7$
$76 = \frac{12+7}{2} h$

Solve the fraction:

$\frac{12+7}{2} = \frac{19}{2} = 9.5$
$76 = 9.5h$

Divide both sides by 9.5 to get h by itself:

$76 \div 9.5 = 8$
$h = 8$

The height of the trapezoid is 8 inches.