Question

A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimeter of this base is 900 feet. What are the dimensions of the base?

Answer 1

Width 130 ft and

Length 320 ft

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