# Inside that rectangle, there is a smaller one. It has a width of 2x and a length of x + 12. How do you find the area?

##### 1 Answer

Apr 15, 2016

#### Explanation:

Recall that the formula for area of a rectangle is:

#color(blue)(|bar(ul(color(white)(a/a)A=lwcolor(white)(a/a)|)))# where:

#A=# area of rectangle

#l=# length

#w=# width

To determine the area of the rectangle, substitute the given expressions for the length and width into the formula for the area of a rectangle.

#A=lw#

#A=(color(darkorange)x+color(blue)(12))(color(red)(2x))#

Use the distributive property,

#A=(color(red)(2x))(color(orange)x)+(color(red)(2x))(color(blue)12)#

#A=color(green)(|bar(ul(color(white)(a/a)2x^2+24xcolor(white)(a/a)|)))#