Question:

The perimeter of a rectangle is 60 cm. If its length is twice its breadth, then its area is:

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With sides in a fixed ratio, convert perimeter into a single variable first; then compute the area.
Updated On: Aug 13, 2025
  • 200 cm$^2$
  • 180 cm$^2$
  • 160 cm$^2$
  • 220 cm$^2$
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The Correct Option is A

Solution and Explanation

Let breadth $=b$ cm. Then length $=2b$ cm.
Perimeter $=2(l+b)=2(2b+b)=6b$. Given $6b=60$, so $b=10$ cm and $l=20$ cm.
Area $=l\times b=20\times10=200\ \text{cm}^2$.
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