Question

The perimeter of a rectangular field is $\frac{3}{5}km$. If the length of the field is twice its width; find the area of the rectangle in sq. meters.

• A. $20,000$ sq. m
• B. $15,000$ sq.m
• C. $13,200$ sq.m
• D. $22,500$ sq.m

Answer 1

The correct option is A $20,000$ sq. m

Let the length of the rectangular field be $xm$
Therefore, the breath is $2xm$
Given, perimeter $=\frac{3}{5}km$
$=\frac{3}{5}\times 1000m$
$=600m$
$\Rightarrow 2(x+2x)=600$
$\Rightarrow 3x=300$
$\Rightarrow x=100$
Therefore, length $=100m$ and Breath $=200m$
Thus, area of the rectangular field $=200\times 100$ sq. m $=20000$ sq. m