Question

A wire when bent in the form of a square encloses an area of $484m^2$. The area enclosed by the same wire when bent to form a rectangle of breadth $16m$ is = _____ $m^2$.

• A. 448
• B. 512
• C. 540
• D. 600

Answer 1

The correct option is A

448

Let side of the square = a

$a^2=484$

$a^2={22}^2$

$a=22m$

Perimeter of wire

= $4\left(22\right)$

= $88m$

Perimeter of rectangle

= $2(l+b)$

$\text{/}{88}^{44}=\text{/}4(l+16)$

$l=28m$

Area of rectangle

= $lb$

=$28\times 16$

= $448m^2$