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ser-zykov [4K]
2 years ago
14

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

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
8 0

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

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

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

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