Question

What is the area of a rectangle with length $(x+2)cm$ and breadth $(x+6)cm$?

• A. $(x^3+8x+12)c{m}^2$
• B. $(x^2+8x+6)c{m}^2$
• C. $(x^2+6x+12)c{m}^2$
• D. $(x^2+8x+12)c{m}^2$

Answer 1

The correct option is D $(x^2+8x+12)c{m}^2$

Given: $l=(x+2)cmb=(x+6)cm$
Area of a rectangle = length × breadth
$Area=(x+2)(x+6)=x(x+6)+2(x+6)=x^2+6x+2x+2\times 6=(x^2+8x+12)c{m}^2$