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 section1. Write an expression for the total area of the wall. Explain how you came up with your expression. 2. To find the area of each section, what do you need to do to the total area? 3. Write an expresión for the area of each section of the wall.

Answer 1

Notice that the shape of the given wall is that of a Rectangle.

Recall that the area of a rectangle is the product of its side lengths.

The side lengths of the wall are given to be:

• 10 ft

,

• x (unknown)

Hence, the total area (A) of the wall is:

`\begin{gathered} A=10* x \\ \Rightarrow A=10x \end{gathered}`

Hence, an expression for the total area of the wall is 10x.

It is given that the wall is divided into 5 equal sections. Therefore, in order to calculate the area of each section, you need to divide the total area by the number of sections, 5.

Divide the expression for the total area to find the area of each section of the wall:

`(10x)/(5)=2x`

Hence, an expression for the area of each section of the wall is 2x.

Answers:

The expression for the total area of the wall is 10x. This is gotten by multiplying the given height, 10 ft by the unknown length, x.

To find the area of each section, you need to divide the total area by the number of sections, 5.

An expression for the area of each section of the wall is 2x.