Question

Calculate the area of the rectangle, if it has a perimeter of $30$ centimetres and its length is twice as long as it is breadth.

• A. $15$
• B. $50$
• C. $200$
• D. $3^{\sqrt{15}}$
• E. $6^{\sqrt{15}}$

Answer 1

The correct option is B $50$

Let the breadth be ${}^{\prime }{b}^{\prime }$.

Then length is $2b$.

The perimeter is given by

$P=2(l+b)=2(2b+b)=6b$.

Hence, $6b=30$ $b=5$

Thus length is $10$ cm and breadth is $5$ cm.

Thus area is $50c{m}^2$