A countertop is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the countertop is 1,224 square inches. Write and solve an equation to find the height of the countertop.
formula for area of a trapezoid: a+b/2*h
so we plug in the bases and we have 70+65+1=136
136/2=68
1224/68=18
so our equation is 1224/((70 1/2+65 1/2)/2), or in Latex, \(\frac{1224}{\left(\frac{(141+131)}{2}\right)}\)
