Question

A rectangular field is $75m$ long and $27m$ wide. The area of a square field is equal to the area of this rectangular field. The perimeter of the square field is

• A. $180m$
• B. $200m$
• C. $195m$
• D. $187m$

Answer 1

Answer: (A)

$180m$

Area of rect. field $=75\times 27$

Area of square field $=x^2$ (side = x)

both are equal

$\therefore x^2=75\times 27$

$=15\times 5\times 3\times 3\times 3\times 3$

$x^2=(5\times 3\times 3{)}^2$

$x=45m$

Perimeter of square $=4x$

$=4\times 45$

$=180m$.