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A non-square rectangle has integer dimensions. The number of square units in its area is numerically equal to the number of units in its perimeter. What is the number of units in the perimeter of this rectangle?

 Feb 19, 2020
edited by Guest  Feb 19, 2020
 #1
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Area  =  L * W

 

Perimeter  =  2 (L + W)

 

L*W  = 2L + 2W

 

L*W  - 2W  = 2L

 

W ( L - 2)   =  2L

 

W =  2L  / [ L - 2 ]

 

W / 2  = L / [ L - 2 ]

 

Ths is true when  W =  6   and L   =  3

 

The perimeter  is   2 ( 3 + 6)   = 18 units

 

 

cool cool cool

 Feb 19, 2020
edited by CPhill  Feb 19, 2020

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