Question

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

Answer 1

Let the common factor be $x$

The ration of $l:b=5;3$

So the length is $5x$

The breadth is $3x$

The perimeter is $2(l+b)=1285x+3x=648x=64x=8$

So the length is $5\left(8\right)=40$

The breadth is $3\left(8\right)=24$

The area is $40\times 24=960c{m}^2$