Question

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

Answer 1

The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

What are the dimensions of the rectangle base?

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let x represent the width of the rectangular base.

• Width w = x
• Length = l = 3x-75
• Perimeter P = 810ft

Plug these values into the equation above.

P = 2( l + w )

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

810 = 6x - 150 + 2x

810 = 8x - 150

8x = 810 + 150

8x = 960

x = 960/8

x = 120

Hence,

Width of the rectangle = x = 120ft

Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft

Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

Learn more about rectangles here: brainly.com/question/17043956

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