Question

The area (in m2) of the square which has the same perimeter as a rectangle whose length is 48 m and is 3 times its breadth, is :

• A. 1000
• B. 1024
• C. 1600
• D. 1042

Answer 1

Answer:

B. 1024

square has the same perimeter as a rectangle.

$4a=2(L+B)$

length is 48 m and is 3 times its breadth.

$L=48m=3B$

$B=\frac{48}{3}=16m$

$4a=2(48+16)$

$4a=2\times{64}$

$a=\frac{128}{4}$

$a=32m$

Area of square =$a^2$

$=32^2$

$=1024m^2$