Question

the length and breadth of a rectangular field are in the ratio of 5 : 3 if the perimeter of the field is 800 M. find its breadth​

Answer 1

let the common multiplyer be X
ATQ
2(5x+3x)=800
8x=800÷2=400
X=400÷8=50
so,
breath will be =3x
=3×50 =150M

Answer 2

Ratio of length and breadth of a rectangular field is 5 : 3

Let the common multiple be x

Let the length be 5x and breadth be 3x

Given, perimeter of the rectangular field id 800m

To solve this problem and find the breadth of the rectangukar field, we will use formula of perimeter of triangle

According to the given condition,

2(length + breadth) = Perimeter

∴ 2(5x + 3x) = 800

∴ 10x + 6x = 800

∴ 16x = 800

∴ x = 800/16

∴ $\boxed{x\:=\:50}$

∴ $\tt{Breadth\:=\:3x}$

$\tt{=\:3\:\times\:50}$

= $\boxed{\boxed{\tt{150\:m}}}$