Answer to Question #282826 in Geometry for Sonika

Question

A rectangular field of area (81m*49m) is equal to the area of square field .find the length of one side of square field

Answer 1

$\text{It is given that the area of a rectangle has length and width } \\ 81 \text{ and } 49 \text{ respectively } \\ A_{rectangle}=L\times W=81 \times 49=A_{square} \\ \text{Recall that } A_{square}=L^2=81 \times 49 \\ \implies L=\sqrt{81 \times 49}=9 \times7=63 \,(m) \\ \therefore \text{The lenght of one side of square field is } 63 \, m.$