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Doubling the Area of a Square by Construction

Three squares...

Question

Three squares of identical side lengths are combined to form a large square of area 192 sq. cm. Determine the side length of the smaller squares.

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Solution

Area of large square = 192 sq cm
This large square is formed by combining three squares of identical side length.
Area of each small square = $\frac{192}{3}$ = 64 sq. cm
Side length of each small square = $\sqrt{64}$ = 8 cm

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Doubling the Area of a Square by Construction

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