Question

the perimeter of rectangular field is 800m. the ratio between length and breadth is 5:3. Find the area of the field​

Answer 1

Answer:

Area of the field = 37500 $m^{2}$

Step-by-step explanation:

Ratio between the length and the breadth of the rectangular field = 5:3

Let the length be 5$x$ and the breadth be 3$x$.

Perimeter of a rectangle = 2( l + b ) = 800 m.

Therefore,

$2( 5x +3x) \ = \ 800\\8x \ = \ \frac{800}{2}\\x \ = \ \frac{400}{8}\\x \ = \ 50 \ m$

length = 5 * 50 = 250 m.

breadth = 3 * 50 = 150 m.

Area of a rectangle = $( l*b)$

= (250 * 150)

= 37500 $m^{2}$.