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horrorfan [7]
3 years ago
7

A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimete

r of this base is 900 feet. What are the dimensions of the base?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

  • Length of the rectangular base is 70 ft less than three times the width;
  • Perimeter of the rectangular base is 900 ft

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

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