Question

The length and breadth of a rectangular field are in the ratio $6:5$. If the perimeter of the field is $2200$ m, then the length of the field is

• A. $550m$
• B. $600m$
• C. $650m$
• D. $1100m$

Answer 1

The correct option is B

$600m$

It is given that, ratio of length and breadth of a rectangular field = $6:5$

We know that perimeter = $2(length+breadth)$ ---------------------$eq\left(1\right)$

Let the length be $6x$ and breadth be $5x$ and perimeter is given that $2200m$

then by $eq\left(1\right)$ we have

$$\begin{gathered} \Rightarrow 2(6x+5x)=2200 \\ \Rightarrow 2\times 11x=2200 \\ \Rightarrow 22x=2200 \\ \Rightarrow x=\frac{2200}{22} \\ \Rightarrow x=100 \end{gathered}$$

Hence, length = $6x=6\times 100=600m$

breadth = $5x=5\times 100=500m$

Therefore, OPTION (ii) is correct.