SOLUTION: A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 18 cm, what was the area of the original square? A. 9 cm2 B. 18 cm2 C. 24 cm2 D.

Question 252176: A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 18 cm, what was the area of the original square?
A. 9 cm2 B. 18 cm2 C. 24 cm2 D. 36 cm2 E. 81 cm2
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 18 cm, what was the area of the original square?
A. 9 cm2 B. 18 cm2 C. 24 cm2 D. 36 cm2 E. 81 cm2
.
Draw a diagram of the problem. It'll help you see the solution.
.
Let x = measure of one side of square
then
x/2 = width of rectangle
x = length
.
2(x/2 + x) = 18
x/2 + x = 9
3x/2 = 9
3x = 18
x = 6 cm
.
Therefore the area of the square is:
6*6 = 36 cm^2

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