Question

a painter is buying supplies for a job. he is painting a 11-foot by 13-foot rectangular room whose ceiling is 11 feet off the floor. how can the painter determine how much paint he needs? (disregard any doors and windows.) the painter can determine how much paint he needs by multiplying the wall height by the dropdown of the floor. this will give units of dropdown. the dropdown options include perimeter and area.

Explanation:

Step1: Understand the problem

To find the amount of paint needed, we need to find the area of the walls. The walls of a rectangular room are rectangles. For a rectangular room, the total length around the room (perimeter of the floor) multiplied by the height of the walls gives the area of the walls. The perimeter of a rectangle is calculated as \( P = 2\times (length + width) \). Here, the length of the room is 13 feet and the width is 11 feet. So the perimeter of the floor is \( 2\times(11 + 13)=2\times24 = 48 \) feet. Then, multiplying this perimeter by the wall height (11 feet) will give the total area of the walls (in square feet), which is what we need to determine the amount of paint (since paint is usually measured by the area it can cover). If we used the area of the floor, that would be for covering the floor, not the walls. So we need to multiply the wall height by the perimeter of the floor.

Step2: Determine the units

When we multiply the perimeter (in feet) by the height (in feet), we get an area, so the units will be square feet (since \( feet\times feet = square\ feet \)).

Answer:

The first blank should be filled with "perimeter" and the second blank should be filled with "square feet".