SOLUTION: a square piece of paper is folded in half to form a rectangle . this rectangle has a perimeter of 24 m . the area of the original square in cm^2,was a)12 b) 16 c) 32 d) 48

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Question 237579: a square piece of paper is folded in half to form a rectangle . this rectangle has a perimeter of 24 m . the area of the original square in cm^2,was
a)12 b) 16 c) 32 d) 48 e) 64
Answer by Theo(13342) About Me  (Show Source):
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let s = the side of the square.

area of the square is s^2

perimeter of the square is 4*s

divide the square in half and you have 2 sides of s and 2 sides of .5s

total number of sides of the half is 3s

perimeter of the half is 24.

s = 24/3 = 8

s^2 = 64

area of the square is 64 square cm.