Question 124084
The rectangular ground floor of the John Hancock building has a perimeter of 860 ft. The length is 100ft more than the width. Find the length and width.
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Let x = width
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It said,"length is 100ft more than the width." therefore we can say
(x+100) = length
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Also,"building has a perimeter of 860 ft."
2(x+100) + 2x = 860
2x + 200 + 2x = 860
4x = 860 - 200
4x = 660
x = {{{660/4}}}
x = 165 ft is the width
and
165 + 100 = 265 is the length
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Check solution in perimeter equation:
2(265) + 2(165) =
530 + 330 = 860
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