Question

A trapezoid has an area of 22 square inches. The longer base measures 6 inches and the height is 4 inches. use the formula src="https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7Dh%28%20b_%7B1%7D%2B%20b_%7B2%7D%20%29%20" id="TexFormula1" title="A= \frac{1}{2}h( b_{1}+ b_{2} ) " alt="A= \frac{1}{2}h( b_{1}+ b_{2} ) " align="absmiddle" class="latex-formula"> to find the length of the shorter base.
a. b = 10
b. b = 5
c. b = 7.5
d. b = 12.5

Answer 1

22=1/2*4(6+b)
22=2(6+b)
22=12+2b
10=2b
Divide both sides by 2:
b=5
The answer is b.

Hope this helps :)