Question

The area of a rectangular field is 396 m², whose sides are in the ratio of 11: 9. What is The perimeter of the rectangular field?

• A. 76 m
• B. 80 m
• C. 78 m
• D. 74 m

Answer 1

Answer:

B. 80 m

Let the sides of the rectangle be in the ratio (11:9).

So, sides = (11x) and (9x)

Use area

$11x \times 9x = 396$

$99x^2 = 396$

$x^2 = 4 \Rightarrow x = 2$

Find actual sides

$11x = 22 \text{ m}, \quad 9x = 18 \text{ m}$
Perimeter

$P = 2(22 + 18) = 2 \times 40 = 80$

Final Answer: 80 m