SOLUTION: If a building is 3/4 as tall as it is wide. Its area is 216m^2. Find height and base

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Question 954488: If a building is 3/4 as tall as it is wide. Its area is 216m^2. Find height and base
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width=base; H=height=0.75W; A=area=216m^2
WH=A Substitute for H.
W%280.75W%29=A
0.75W%5E2=A Put in value for A.
0.75W%5E2=216m%5E2 Divide each side by 0.75.
W%5E2=288m%5E2 Find the square root of each side.
W=16.97m ANSWER 1: The width is 16.97 meters.
H=0.75W=0.75%2816.97m%29=12.73m ANSWER 2: The height is 12.73 meters.
CHECK:
A=WH
216m%5E2=%2816.97m%29%2812.73m%29
216m%5E2=216m%5E2