SOLUTION: the area of the playground is 96 square yards. complete the square to find the value of x. the length of the playground is x+15 and the width is x+5.
Question 172654: the area of the playground is 96 square yards. complete the square to find the value of x. the length of the playground is x+15 and the width is x+5. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! the area of the playground is 96 square yards. complete the square to find the value of x. the length of the playground is x+15 and the width is x+5.
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96 = (x+15)(x+5)
FOIL right side:
96 = x^2+20x+75
0 = x^2+20x-21
21 = (x^2+20x)
21+100 = (x^2+20x+100)
121 = (x+10)^2
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Now find square root both sides:
11 = x+10
1 = x
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length:
x+15 = 1+15 = 16 yards
width:
x+5 = 1+5 = 6 yards
