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)