SOLUTION: square abcd and rectangle pqrs has the same perimeter. the area of the square is 64 sq cm. find the length of one side. given the the length of the rectangle is thrice its width. f

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Question 792453: square abcd and rectangle pqrs has the same perimeter. the area of the square is 64 sq cm. find the length of one side. given the the length of the rectangle is thrice its width. find the area of the rectangle.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Area of the square = 64 sq cm.
Side of square = 8 cm.
Perimeter of square = 32 cm.

Let width of the rectangle be w cm.
So, length is 3w cm.
Perimeter of the rectangle = 2(w + 3w) = 8w cm.

8w = 32
w = 4
So, length and width of the rectangle are 12 cm and 4 cm respectively.
Therefore, area of the rectangle is 48 sq cm.