Question

A rectangle with length and breadth equal to 19m and 17m respectively has to be converted to a square with equal area. What is the side of the square? (Give your answer till two decimal places).

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

Answer 1

The correct option is A

17.97

Area of rectangle $=19\times 17m^2=323m^2$ . Since, area of square = area of rectangle, therefore,

Area of square $=323m^2$

If side of square is a, area is $a^2$

$a^2=323m^2$

$a=17.97m$

$\begin{array}{ccc}& 17.97& \\ 1& 3230000& \\ 1& 1& \\ 27& 2230000& \\ 7& 189& \\ 349& 3400& \\ 9& 3141& \\ 3587& 25900& \\ 7& 25109& \\ 3594& 891& \end{array}$