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)|)))
