A square piece of paper is folded as shown. If the area of the shaded triangles is $225 c m^{2}$ , find the perimeter of the piece of the paper when it is unfolded.

125

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100

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120

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60

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Solution

The correct option is C $120$ cm
The square is pep aired by folding paper The area of shaded triangles 225 sq cm
Then the area of triangle = $(s i d e)^{2}$
And side of triangle = $\sqrt{a r e a} = \sqrt{225} = 15$ cm
In this figure sides of triangle are equal
Then side of square= $2 \times s i d e = 2 \times 15 = 30$ cm
So the perimeter of piece of paper = $4 \times 30 == 120$ cm

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A square piece of paper is folded as shown. If the area of the shaded triangles is 225cm2, find the perimeter of the piece of the paper when it is unfolded.

A square piece of paper is folded as shown. If the area of the shaded triangles is $225 c m^{2}$ , find the perimeter of the piece of the paper when it is unfolded.