SOLUTION: A rectangle is 2 feet wide and 3 feet long. Each side is increased by the same amount to give a rectangle with twice the area of the original one. Find the dimensions of the new re

Algebra ->  Functions -> SOLUTION: A rectangle is 2 feet wide and 3 feet long. Each side is increased by the same amount to give a rectangle with twice the area of the original one. Find the dimensions of the new re      Log On


   

Question 657902: A rectangle is 2 feet wide and 3 feet long. Each side is increased by the same amount to give a rectangle with twice the area of the original one. Find the dimensions of the new rectangle. (Hint: Let x feet be the amount by which each side is increased.)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A rectangle is 2 feet wide and 3 feet long. A =2ft%2A3ft+=+6ft%5E2

Each side is increased by the same amounthighlight%28x%29 to give a rectangle with twice the area of the original one.

Question states***

 (x+2)(x+3) = 12

 x^2 + 5x + 6 = 12

 x^2 + 5x - 6 = 0

(x + 6) = 0

  (x-1) = 0

     x = 1  (throwing out negative solution for unit measurement)

New rectangle is 3ft by 4ft