The area of a trapezoid is found by the following formula:
[tex]A = \frac{a+b}{2} h[/tex]
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:
[tex]A = 76; a = 12; b = 7[/tex]
[tex]76 = \frac{12+7}{2} h [/tex]
Solve the fraction:
[tex] \frac{12+7}{2} = \frac{19}{2} = 9.5[/tex]
[tex]76 = 9.5h[/tex]
Divide both sides by 9.5 to get h by itself:
[tex]76 \div 9.5 = 8[/tex]
[tex]h = 8[/tex]
The height of the trapezoid is 8 inches.
