Question

The length of a rectangular field is two more than twice its breadth. Find its area if the breadth is x + 1?

• A. $x^2+8x+24$
• B. $x^2+6x+2$
• C. $2x^2+3x+2$
• D. $2x^2+6x+4$

Answer 1

The correct option is D $2x^2+6x+4$

Breadth $=x+1$
Length $=2(x+1)+2$
$=2x+2+2=2x+4=2(x+2)$

$\text{Area}=\text{Length}\times \text{Breadth}$

$=2(x+2)\times (x+1)$
$=2\times (x+2)(x+1)$

By applying the identity $(x+a)(x+b)=x^2+(a+b)x+ab$

$=2\times (x^2+(2+1)x+2)$
$=2x^2+6x+4$