A rectangle having a length and width of 16 in and 4 in, respectively, has the same area as that of a square. Calculate the length of each side of the square.

12 inches

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8 inches

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16 inches

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4 inches

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Solution

The correct option is B 8 inches
Area of a rectangle = length × width
Length of rectangle = 16 cm
Width of rectangle = 4 cm

So, area of rectangle = length × width
= 16 in × 4 in
= 64 sq inches.

Now, area of a square = side × side
The side length of the square will be
$= \sqrt{64} inches$
= 8 inches

So, side length of each square is 8 inches.

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