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

Step-by-step explanation:

Given

Breadth is $\frac{2}{3}$ of length

Suppose length is x m

So, breadth is   $\dfrac{2}{3}x$

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

Putting values

$\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m$

Length L is $88.8\ m$

width W is $\frac{2}{3}x=59.2\ m$