Question

To determine how many square feet of painting needs to be done in a room, a painter can use the formula A=PxH, where A is the area in square feet, P is the perimeter of the room in feet, and H is the height of the room in feet. You already bought paint and have enough to cover 700 square feet. The perimeter of the room you are painting is 94 feet. What is the height that the room would be for you to have exactly enough? If the room has 8 foot ceilings, do you have enough paint?

Answer 1

We are given the following

Area = 700 square feet

Perimeter = 94 feet

Height = ??

Formula To Use

`Area=P* H`

To find the Height

`\begin{gathered} Height(H)=(Area)/(Perimeter) \\ \\ H=(700)/(94) \\ \\ Height=7.446808511feet \\ \\ Height=7.45ft\text{ \lparen to the nearest hundredth\rparen} \end{gathered}`