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

Answer:

#2x^2+24#

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, #color(red)a(color(darkorange)b+color(blue)c)=color(red)acolor(darkorange)b+color(red)acolor(blue)c#, to simplify the equation.

#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)|)))#