Question

7. Flora has a square fountain. It is a square fountain and she wants to place a walkway around it. The square fountain measures 4 meters on each side. The walkway will be one meter wide around the fountain.. a. Find the area of the walkway. b. One bag of colored stones covers 1 square meter, how many bags of stones will be needed to cover the entire walkway around the fountain? C. A bag of colored stones cost $24.99. How much will it cost to fill in he walkway with colored stones?

Answer 1

`\begin{gathered} a)20m^2 \\ b)\text{ 20 bags of colored stones} \\ c)\text{ \$499.8} \end{gathered}`

Explanation:

Since the square fountain measures 4 meters on each side and the walkway will be one meter wide, let's make a diagram to see the situation:

Then, to calculate the area of the walkway (green shaded region)

`\begin{gathered} A_(total)=b\cdot h \\ A_(total)=6\cdot6=36m^2 \\ A_(founta\in)=4\cdot4=16m^2 \end{gathered}`
`\begin{gathered} A_(walkway)=A_(total)-A_(fountain) \\ A_(walkway)=36-16=20m^2 \end{gathered}`

Now, how many colored stones will be needed if one bag covers 1 square meter:

There are 20 square meters on the walkway, then will be needed 20 bags of colored stones.

A bag of colored stones costs $24.99, then multiply 20 by $24.99:

`20\cdot24.99=\text{ \$499.8}`