Question

If the ratio of sides of a rectangle is 2 : 7 and perimeter is 360 m, then find out its length and breadth.

• A. 140m, 40m
• B. 144m, 36m
• C. 160m, 20m
• D. 135m, 45m

Answer 1

The Correct Option is A

Given the ratio of sides of a rectangle is 2:7 and the perimeter is 360 meters, we can find the length and breadth as follows:
Let the sides of the rectangle be $2x$ and $7x$.
The perimeter of a rectangle is given by:
$$2 \times (\text{length} + \text{breadth}) = 360$$
Substituting the given ratio:
$$2 \times (2x + 7x) = 360$$
$$2 \times 9x = 360$$
$$18x = 360$$
$$x = 20$$
Therefore, the length and breadth are:
$$\text{Length} = 7x = 7 \times 20 = 140 \text{ m}$$
$$\text{Breadth} = 2x = 2 \times 20 = 40 \text{ m}$$
Answer: A (140m, 40m)