SOLUTION: A rectangle has perimeter 54 inches, and its area is 162 sq-inches. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.

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Question 1030218: A rectangle has perimeter 54 inches, and its area is 162 sq-inches. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.)
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the width =
The perimeter = in
The sides are:
, , ,
-------------------
The area = in2





Complete the square:







--------------
The length is:




-----------------------
The dimensions are 9 x 18
-----------------------
check:
Perimeter =
Perimeter =
Perimeter = in
------------------
Area =
Area = in2

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