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A building in a city has a rectangular base. the length of the base measures 65 ft less than three times the width. the perimeter of this base is 870 ft. what are the dimensions of the​ base?

Respuesta :

Call the length is x
the width is y

First equation:
[tex]3y - x = 65[/tex]

Simplized the equation:
[tex] - x + 3y = 65[/tex]

Second equation:
[tex](x + y) \times 2 = 870[/tex]
Simplized the equation:
[tex]x + y = 435[/tex]
from two equation we have:
[tex] - x + 3y = 65 \\ x + y = 435[/tex]
Use Eliminate Method:
[tex]4y = 500 \\ x + y = 435[/tex]
[tex]y = 125 \\ x + 125 = 435[/tex]
[tex]y = 125 \\ x = 310[/tex]
Conclude:
The length is 310 feets
The width is 125 feets

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