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The length of a rectangle is eight inches more than the width. The perimeter is 92 inches. Find the length and width.

Sagot :

tarin12990
Let W=Width and L= length
So let’s write the first clue as an algebraic expression
L= W + 8
Since the shape is a rectangle the formula for the perimeter is 2L + 2W = 92
We will use our first clue to find the value of the width first.
2(w+8) + 2W = 92
2W + 16 + 2W = 92
4W + 16 = 92
4W = 92-16
4W=76
W= 19 inches
Finally since we know the width now
Substitute in the first clue
L= 19 + 8
L= 27 inches
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