Question

Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet

tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each
section.
10 ft
Total length unknown (x)
Letx represent the total length of the wall. What expression could Todd
and his friends use to find the area of each section?

Answer 1

the expression for the total area of the wall is 10×x or simply 10x

to find the area of a section we need to take the total area of the wall and divide it by 5 (as there are 5 equal sections).

the expression for the area of each section is 2x

Explanation:

remember, the area of a rectangle is length×width (or height).

so, the total wall can be seen as one big rectangle 10 ft high and x ft long. its area is therefore 10x (meaning 10×x).

since the wall is separated into 5 equal segments, the area of one such segment is simply 1/5 of the total area. so, we need to divide the total area by 5.

so, the expression for the area of each segment is

10x/5 = 2x