Question

1.
The length of a rectangular room is 11 feet more than 3 times the height of the room. The floor of the room has an area that is represented by the function below, where h is the height of the room in feet.

a(h)=9h^2+39h+22


Which statement best describes the width of the room?

The width is 2 feet shorter than the length.

The width is 9 feet shorter than the length.

The width is 9 feet longer than the height.

The width is 2 feet longer than the height.

Answer 1

well if you need to solve the equation

either using the general quadratic equation or factoring

it factors to

a(h) = (3h +2)(3h + 11)

you are told the length is 11 more then 3 times the height

so length = 3h + 11

then the width = 3h + 2

now you can answer the question