Question

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?

• A. 17.97
• B. 16.93
• C. 15.98
• D. None of these

Answer 1

The correct option is C

15.98

Area of rectangle $=32\times 8m^2=256m^2$
Since, the area of square = area of the rectangle, therefore,
Area of square $=256m^2$
If the side of the square is 'a' area is $a^2$
$a^2=256m^2$
$a=\sqrt[2]{2256}m$
$a=\sqrt[2]{24\times 4\times 4\times 4}m$
$a=16m$