Please help with this question

Cost: 1116 dollars to carpet the lobby

* Note (this is if the lobby costs a dollar per square foot, if not, simply multiply 1116 square feet by the actual cost per square foot to get the cost to carpet the lobby)

Step-by-step explanation:

Here I'm assuming that a square foot will cost a dollar respectively. So, let's start with the the area of the figure. We see that the figure is composed of two trapezoids of equivalent area, so lets calculate the area of one of them-

The formula of a trapezoid is:  (Base1 + Base2 / 2) * height

Here the first base represents 30 feet, the second base 42 feet, and the height 15.5 feet. Substitute:

( 30 + 42 / 2 ) * 15.5 =

( 72 / 2 ) * 15.5 =

36 * 15.5 =

Area of one trapezoid: 558 square feet

Multiply this area by two to receive the area of the whole figure:

558 * 2 =

Area of the figure: 1116 square feet

So, assuming that a square foot will cost a dollar, it will cost 1116 dollars to carpet the lobby

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb