A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 24 in. more than the width. What are the dimensions of the carpet?

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Answer 1 · 2016-02-27T02:56:42

Let the length = L and the width = W

Given : #L = 24 + W# and
#2L+2W=240#

Now, solve for L and W using algebra ...

Using substitution ...

#2L+2W=240#

#2(24+W)+2W=240#

Simplify and solve for W ...

#48+4W=240#

#4W=192#

#W=48#

Now, solve for L ...

#L = 24 + W=24+48=72#

In summary,

#L=72# and #W=48#

hope that helped!