Question

The lengths and the widths of the following three rectangles are labeled. Create a polynomial that describes the sum of the area of these three rectangles.122xThe polynomial for the total area of the figures is(Simplify your answer. Do not factor.)

Answer 1

step 1

Find the area of each rectangle

Remember that the area of the rectangle is equal to

A=b*h

First rectangle

A=x*x=x^2 unit2

Second rectangle

A-=12*x=12x unit2

Third rectangle

A=2x*x=2x^2 unit2

step 2

Adds the areas

x^2+12x+2x^2

combine like terms

3x^2+12x

$3x^2+12x$