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8. A rectangle is 10 cm x 8 cm wide. What is the area of the largest square that can be cut out of it?
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Given, Rectangle size=10cm×8cm
Largest square which can be cut from this rectangle
=8cm×8cm
=64 sq.cms
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The area of the largest square that can be cut out of the rectangle is 64 square centimeters.
The largest square that can be cut out of a rectangle will have a side length equal to the smaller of the two dimensions of the rectangle. In this case, the smaller dimension of the rectangle is 8 cm, so the largest square that can be cut out of it will have a side length of 8 cm.
The area of a square is given by the formula , where A is the area and s is the length of a side. Using this formula, we can find the area of the largest square that can be cut out of the rectangle:
Therefore, the area of the largest square that can be cut out of the rectangle is 64 square centimeters.
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