Question 1049572
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Cynthia Besch wants to buy a rug for a room that is 14 ft wide and 29 ft long. 
She wants to leave a uniform strip of floor around the rug. She can afford to buy 250 square feet of carpeting. 
What dimensions should the rug​ have?
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<pre>
Let me show you another way of solving, without quadratic equations.

Notice that the difference "the length - the width" is 29-14 = 15 ft.

Since there is a uniform strip of floor around the rug, the difference of dimensions of the rug is the same, 15 ft.

Thus you need to determine the dimensions that have the difference of 15 and the product of 250 (square feet).

Can you guess them? - But of course, 25 x 10.

<U>Answer</U>.  The rug should be 25 X 10 ft.
</pre>

But if you want to know how to solve similar problems WITH equations, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson>Problems on the area and the dimensions of a rectangle surrounded by a strip</A>

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this textbook.