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navik [9.2K]
3 years ago
11

the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l

ength of the building.
Mathematics
1 answer:
garri49 [273]3 years ago
5 0
Call the width x.  Note that the length is 3x-6.  We know that double the width plus double the length is 120, so we write an equation:

2(x)+2(3x-6)=120
2x+6x-12=120
8x-12=120
8x=132
x=16.5
If x is 16.5, the width is 16.5, and the length is 3 \cdot 16.5 - 6 = 43.5.
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