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A square is folded into half to form a rectangle. the perimeter of the rectangle is 36cm. calculate the area of a square​

Sagot :

Answer:

Let the measure of each side of the square be " x " cm.

then ,

area of square = x²

After we folded the square into a rectangle ,

length of rectangle = x

breadth of rectangle = x/2

perimeter of rectangle = 36 cm

[tex]x + \frac{x}{2} + x + \frac{x}{2} = 36 \\ \\ \frac{2x + x + 2x + x}{2} = 36 \\ \\ \frac{6x}{2} = 36 \\ \\ 6x = 36 \times 2 \\ \\ 6x = 72 \\ \\ 6x = \cancel{\frac{72}{6} } = 12cm[/tex]

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

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