SOLUTION: the length of a rectangle is seven more than three times its width. It the perimeters is 38 cm, what is the area in centimeters, of the rectangle

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Question 746776: the length of a rectangle is seven more than three times its width. It the perimeters is 38 cm, what is the area in centimeters, of the rectangle
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!


%0D%0Al=3w%2B7%0D%0A
and
%0D%0AP=2%28l%2Bw%29%0D%0A
and so
%0D%0A38=2%28l%2Bw%29%0D%0A
or...
%0D%0Al%2Bw=19%0D%0A
and so...

%0D%0A%283w%2B7%29%2Bw=19%0D%0A
%0D%0A3w%2Bw%2B7-7=19-7%0D%0A
%0D%0A4w=12%0D%0A
so w=3
and thus l=3w+7=3(3)+7=16
this gives us an area of (3)(16)=48 cm squared