Question:
A rectangle's length is twice its breadth. If the perimeter is 60 cm, what is its area?
A rectangle's length is twice its breadth. If the perimeter is 60 cm, what is its area?
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Always write variables for unknown dimensions and use given perimeter/area formulas to find values systematically.
Updated On: Aug 1, 2025
- 100 cm²
- 150 cm²
- 200 cm²
250 cm²
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The Correct Option is C
Solution and Explanation
- 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).
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