Question

A rectangular lawn has a length that is 2 yards greater than the width. the area of the lawn is 63 square yards. note: the formula for the area of a rectangle is area = length × width .
a.write the polynomial equation for the area of the lawn. use the variable x to represent the width of the lawn. answer:
b.solve the equation and give the width of the lawn. width:

Answer 1

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Define x:
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Let the width be x.
Width = x
Length = x + 2 

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Formula For Area :
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Area = Length x Width

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FInd Width :
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63 = x(x + 2)
63 = x² + 2x
x² + 2x - 63 = 0           ← Polynomial Equation for the area of the lawn.
(x - 7)(x + 9) = 0
x = 7 or x = -9 (rejected, length cannot be negative)

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Answer: The width is 7 yards.
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