Question

The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128 m, find the dimensions of the field.

Answer 1

Let the length of the rectangle be 5x m.
Breadth of the rectangle = 3x m
Perimeter of the rectangle = 2(l + b)
= 2(5x + 3x) m
= (16x) m
It is given that the perimeter of the field is 128 m.

$$\begin{gathered} \therefore 16x=128 \\ \Rightarrow x=\frac{128}{16}=8 \\ \therefore \mathrm{Length}=(5\times 8)=40\mathrm{m} \\ \mathrm{Breadth}=(3\times 8)=24\mathrm{m} \end{gathered}$$