Express the area of the entire rectangle. ![](http://admin.getprephub.com/media/editor/q9_20221205203807309163.png)

Here, width $$=x+6$$, height $$=x+2$$ $$\text { Area } =(x+6) \times(x+2) $$ $$ =(x+6)(x(x+2)+6(x+2) $$ $$ =x^{2}+2 x+6 x+12 $$ $$ =x^{2}+8 x+12$$ Alternatively. ![](http://admin.getprephub.com/media/editor/qs9_20221205203843395778.png) Area of blue square $$=x \times x=x^{2}$$. Area of Pink rectangle $$=x \times 6=6 x$$ Area of Green rectangle $$=x \times 2=2 x$$ Area of Orange rectangle $$=2 \times 6=12$$ $$ \text { Total area }=x^{2}+6 x+2 x+12 $$ $$=x^{2}+8 x+12 $$

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Question

Difficulty Level:

Easy

MCQ

Express the area of the entire rectangle.

Select all that apply :

$x^{2}+8 x+12$

$x^{2}+8$

$x^{2}+12$

$8 x+12$

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