Question

The diagonal of a square is 15 m; find the length of its one side and perimeter.

Answer 1

Diagonal of square =15 m

Let side of square =a

$\therefore a^2+a^2=(15{)}^2$

$2a^2=225$

$a^2=\frac{225}{2}$

$a^2=112.50$

$\therefore a=\sqrt{112.50}$

a=10.6 m

$\therefore$ Perimeter $=4\times a$

$=10.6\times 4$

=42.4 m

$\therefore$ 10.6 m, 42.4 m