The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
<h3>What are the dimensions of the rectangle base?</h3>
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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