Question

The length and breadth of a rectangular park are in the ratio $5:3$ and its perimeter is $128m$. Find the area of the park.

Answer 1

Let the length of the park be $5x$ metres and its breadth be $3x$ metres.
As, perimeter of the park$=2\times$ (Length $+$ Breadth)
$=2\times (5x+3x)$
$=2\times 8x=16x$ metres
But the perimeter of the park $=128m$
$\Rightarrow 16x=128$
$\Rightarrow x=\frac{128}{16}$
$\therefore x=8$
The length of park $=5x=5\times 8=40m$ and the breadth of the park $=3x=3\times 8=24m$
Now, the area of the park $=$ Length $\times$ Breadth
$=40\times 24=960m^2$
Hence, the area of the park is $960m^2$.