Question

Ratio of length to breadth of a rectangular field is 15:12 and the length of the field is 75 m. What is the perimeter of the rectangular field?

• A. 250 m
• B. 270 m
• C. 290 m
• D. 200 m

Answer 1

The correct option is B 270 m

Given the ratio of length and breadth is 15:12.

Length of the rectangular field = 75 m

Let us find the breadth of the rectangular field.
Let us assume the breadth to be 'x' m.

So,
$\begin{array}{cc}\frac{15}{12}& =\frac{75}{x}\\ \frac{5}{4}& =\frac{75}{x}\\ x& =\frac{75\times 4}{5}\\ x& =60\text{m}\end{array}$

Perimeter = 2( Length + Breadth)
= 2(75 + 60)
= 2 × 135 m
= 270 m