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Ray Of Light [21]
3 years ago
8

A building in a city has a rectangular base. The length of the base measures 65 ft less than three times the width. The perimete

r of this base is 950 ft. What are the dimensions of the base?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

The length of the base is 340 ft and the width of the base is 135 ft

Step-by-step explanation:

Let

x -----> the length of the base

y ----> the width of the base

we know that

The perimeter of the rectangular base is

P=2(x+y)\\P=950\ ft

so

950=2(x+y) -----> equation A

x=3y-65 -----> equation B

substitute equation B in equation A  and solve for y

950=2(3y-65+y)

475=(4y-65)

4y=475+65

4y=540

y=135

Find the value of x

x=3(135)-65=340

therefore

The length of the base is 340 ft and the width of the base is 135 ft

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