Question:
The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is $180$ cm, then:
The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is $180$ cm, then:
Updated On: Dec 26, 2024
- Breadth $\leq 15$ cm
- Breadth $\geq 15$ cm
- Length $\leq 15$ cm
- Length = $15$ cm
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The Correct Option is B
Solution and Explanation
Let the breadth be $b$ and the length be $5b$.
The perimeter is: $2(l + b) = 2(5b + b) = 12b$.
Given the minimum perimeter is $180$ cm: $12b = 180 \implies b = 15$ cm.
Thus, the breadth is $b \geq 15$ cm.
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