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the perimeter of a rectangle is 148 feet. the length is 14ft greater than one and a half times the width what is the length of the rectangle please help
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the formula for perimeter of a rectangle is L + L + W + W = 2L + 2W = P
2L + 2W = 148 L is 14ft more than W x 1.5 OR L = 14 + 1.5W
L=?
2L + 2W = 148 2(14 + 1.5W) + 2W = 148
28 + 3W + 2W = 148
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28 + 5W = 148 Subtract 28 from each side: 5W = 120 Divide both sides by 5: W = 24
to find L... L = 14 + 1.5 (W) L = 14 + 1.5 (24) L = 14 + 36 L = 50
check to make sure the left side =right side 2(50) + 2(24) = 148? 100 + 48 = 148? 148 = 148 its correct
so the length of the rectangle is 50
yes
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thanks
no problem:)
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