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# solving area equations

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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.

Mar 16, 2021

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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, $$\frac{1224}{\left(\frac{(141+131)}{2}\right)}$$

Mar 16, 2021