SOLUTION: A rectangle has a length which is 7 ft less than three times the width. The area is 348 square feet. What are the dimensions

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Question 842220: A rectangle has a length which is 7 ft less than three times the width. The area is 348 square feet. What are the dimensions
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



A rectangle has a length which is 7 ft less than three times the widthhighlight_green%28x%29. 

The area is 348 square feet

A = lw

 (3x-7)x = 348ft^2

  3x^2 - 7x - 348 = 0    |format a^2 + bx + c = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%287+%2B-+sqrt%28+4225+%29%29%2F%286%29+

  x = 12ft, the width  (throwing out negative solution for unit measure

and length is 29ft    3%2A12-7

CHECKING our answer***

  12ft•29ft = 348ft^2

Wish You the Best in your Studies.