Answered

A rectangular Persian carpet has a perimeter of 216 inches. The
length of the carpet is 30 inches more than the width. What are the
dimensions of the carpet? P = 21 + 2w

Answer :

absor201

The width is 39 inches and length is 30 inches

Further explanation:

Let L be the length and W be the width of the carpet

According to given statement, The  length of the carpet is 30 inches more than the width

L = W+30

Now,

A rectangular Persian carpet has a perimeter of 216 inches

[tex]P = 2L +2W\\2(W+30)+2W=216\\2W+60+2W=216\\4W+60=216\\4W=216-60\\4W=156\\\frac{4W}{4} = \frac{156}{4}\\W = 39\ inches\\L =W + 30 = 39+30 = 69\ inches[/tex]

Proof:

[tex]2L+2W = 216\\2(69)+2(39) = 216\\138+78=216\\216=216[/tex]

Hence the width is 39 inches and length is 30 inches

Keywords: Linear equations, word problems

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