Question

If the length of a rectangle is two times its breadth and area is $228{cm}^2$, then length and breadth are respectively ________ .

• A. $20cm$, $10cm$
• B. $12cm$, $24cm$
• C. $24cm$, $12cm$
• D. $16cm$, $18cm$

Answer 1

Answer: (C)

$24cm$, $12cm$

$\Rightarrow$ Let breadth of the rectangle be $xcm.$

$\Rightarrow$ Then length of the rectangle becomes $2xcm.$

$\Rightarrow$ Area of rectangle = $l\times b$

$\therefore$ $228=2x\times x$

$\therefore$ $228=2x^2$

$\therefore$ $x^2=114$

$\therefore$ $x=12cm$ and $2x=2\times 12=24cm$

$\Rightarrow$ Length of the rectangle we get is $24cm$ and breadth is $12cm.$