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A building in a city has a rectangular base. The length of the base measures 65

ID: 3199446 • Letter: A

Question

A building in a city has a rectangular base. The length of the base measures 65 ft less than twice the width. The perimeter of this base is 770 ft. What are the dimensions of the base. What’s the width of the base? What’s the length? A building in a city has a rectangular base. The length of the base measures 65 ft less than twice the width. The perimeter of this base is 770 ft. What are the dimensions of the base. What’s the width of the base? What’s the length? What’s the width of the base? What’s the length?

Explanation / Answer

Let w = width
then from "length of the base measures 65 ft less than twice the width"
2w-65 = length
2(w + 2w-65) = 770
2(3w-65) = 770
3w-65 = 385
3w = 450
w = 150 feet (width)
Length then:
2w-65 = 2(150)-65 = 300-65 = 235 feet (length)

dimensions of base:
Width = 150 feet

Length = 235 feet.....