Question

The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field

Answer 1

Answer: 88.8 m , 59.2 m

Explanation:

Given

Breadth is
`(2)/(3)` of length

Suppose length is x m

So, breadth is
`(2)/(3)x`

Perimeter is given by
`P=2(L+W)`

Putting values

`\Rightarrow 296=2(x+(2)/(3)x)\\\\\Rightarrow 296=2((5)/(3)x)\\\\\Rightarrow x=(296* 3)/(10)=88.8\ m`

Length L is
`88.8\ m`

width W is
`(2)/(3)x=59.2\ m`