# Algebra

Bit (a lot) of trouble solving this: The landing for the steps leading up to a county courthouse is shaped like a trapezoid. The area of the landing is 1500 square feet. The shorter base of the trapezoid is 15 feet longer than the height. The longer base is 5 feet longer than 3 times the longer base? (Btw Solve By Completing the Square)

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1. S = H + 15

L = 3S + 5 = 3H + 50

A = H (S + L) / 2 = H (4H + 65) / 2

A = 2 H^2 + 32.5 H

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posted by Scott

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