SOLUTION: Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 25 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 420 square feet of

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Question 1086026: Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 25 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 420 square feet of carpeting. What dimensions should the rug​ have?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
MENTAL solution 

1.  25 - 24 = 1: the room dimensions differ in 1 ft.


2.  After leaving the inuform strip uncovered along the perimeter of the room, 

    the dimensions of the rug also differ in 1 ft.


3.  Find (MENTALLY) factoring of 420 into the product of two integers that differ in 1.


    420 = 21*20.


4.  The dimensions of the rug are 20 and 21 ft.

Solved.

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