Question

A rectangle's length is twice its breadth. If the perimeter is 60 cm, what is its area? 
 

• A. 100 cm²
• B. 150 cm²
• C. 200 cm²
• D. 250 cm²

Hint:

Always write variables for unknown dimensions and use given perimeter/area formulas to find values systematically.

Answer 1

The Correct Option is C

- Step 1: Represent dimensions - Let breadth = $b$ cm, length = $2b$ cm. 

- Step 2: Perimeter formula - \[ P = 2(\text{length} + \text{breadth}) = 2(2b + b) = 6b \] Given $P = 60$, so: \[ 6b = 60 \implies b = 10 \ \text{cm} \] 

- Step 3: Finding length - $l = 2b = 20$ cm. 

- Step 4: Area formula - \[ \text{Area} = l \times b = 20 \times 10 = 200 \ \text{cm}^2 \] 

- Step 5: Conclusion - Area is $200\ \text{cm}^2$, matching option (3).