SOLUTION: a rectangle has an area of 48 units squared and a perimeter of 32 units. Find the length and width of the rectangle

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Question 845624: a rectangle has an area of 48 units squared and a perimeter of 32 units. Find the length and width of the rectangle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



p = 2%2Bl+%2B+2%2Aw+=+32 ⇒   L + w = 16  and L = (16-w)

A = L%2Aw

 (16-w)w = 48

 w^2 - 16 + 48 = 0

 (w -12)(w-4) = 0,    w = 12   0r  w = 4

Dimensions of the Rectangle are 4 by 12