A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The perimete

Question

Nonamiya [84]

3 years ago

6

A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The perimete

r of this base is 810ft. What are the dimensions of the base?

Mathematics

2 answers:

Mamont248 [21] · Answer 1 · 2021-11-13T21:02:46+03:00

Mamont248 [21]3 years ago

8 0

The perimeter of a rectangle is:
2L +2W = P
W = x
L = 3x - 75

2(x) + 2(3x - 75) = 810

2x + 6x - 150 = 810
8x = 960
x = 120; W = 120 ft. L = 285 ft

slega [8] · Answer 2 · 2021-11-13T19:51:43+03:00

slega [8]3 years ago

6 0

P = 2l +2w
820 = 2(w - 70) + 2w
820 = 4w - 140 
820 - 140 = 4w
680/4 = w
170 = w
let me know if you need an explanation of how i got any of the steps
:)