SOLUTION: 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

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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?
Answer by nerdybill(7384) About Me  (Show Source):
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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?
.
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)
.
dimensions of base:
130 feet by 325 feet