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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.
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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