A rectangle whose length and breadth is 32m and 8m respectively has to be converted to a square with the same area. What will be the side of the square?

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Solution

The correct option is A 16
Area of rectangle $= 32 \times 8 m^{2} = 256 m^{2}$
Since, the area of square = area of the rectangle, therefore,
Area of square $= 256 m^{2}$
If the side of the square is 'a' area is $a^{2}$
$a^{2} = 256 m^{2}$
$a = \sqrt[2]{256} m$
$a = \sqrt[2]{4 \times 4 \times 4 \times 4} m$
$a = 16 m$

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A rectangle whose length and breadth is 32m and 8m respectively has to be converted to a square with the same area. What will be the side of the square?

The correct option is A 16Area of rectangle =32×8 m2=256 m2 Since, the area of square = area of the rectangle, therefore, Area of square =256 m2 If the side of the square is 'a' area is a2 a2=256 m2 a=2√256 m a=2√4×4×4×4 m a=16 m