Question

The length of a rectangle exceeds its breadth by $8cm$ and the area of the rectangle is ${240cm}^2$.
The dimension of the rectangle are

• A. $28cm\times 20cm$
• B. $20cm\times 12cm$
• C. $16cm\times 24cm$
• D. None of these

Answer 1

Answer: (B)

$20cm\times 12cm$

Let breadth be $xcm$
$\Rightarrow$ length $=(x+8)cm$
$\Rightarrow (x+8)x=240$
$\Rightarrow x^2+8x-240=0$
$\Rightarrow (x+20)(x-12)=0$
$\Rightarrow x=-20,x=12$
$x=-20$ is impossible
Then, breadth =$12cm$
and length =$20cm$
$\therefore$ dimensions $=20cm\times 12cm$