Question 779082
a building in a city has a rectangular base. the length of the base measures 65 ft less than thrice the width. the perimeter of this base is 910 ft. what are the dimensions of the base?
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Let w = width
then from "length of the base measures 65 ft less than thrice the width"
3w-65 = length
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2(w + 3w-65) = 910
2(4w-65) = 910
4w-65 = 455
4w = 520
w = 130 feet (width)
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Length then:
3w-65 = 3(130)-65 = 390-65 = 325 feet (length)
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dimensions of base:
130 feet by 325 feet