Question

Your school has a square garden in the quad. As a class project, the 8th graders want to add a stone walkway all the way around the garden. The area of the garden is 625 square feet. If you are in charge of choosing the size of the stones for the walkway, what size are you choosing? The stones have to be square-shaped. How many stones do you need for each side of the garden? How many stones do you need for the entire garden?

Answer 1

To determine the size of the stones for the walkway, find the dimensions of the garden. Divide the length of the garden by the size of the stones to find how many stones are needed for each side. Multiply the number of stones per side by 4 to find the total number of stones needed for the entire garden.

Step-by-step explanation:

To determine the size of the stones for the walkway, we need to find the dimensions of the garden. The area of the garden is given as 625 square feet. Since the garden is square-shaped, we can find the side length of the garden by taking the square root of the area. So, the side length of the garden is sqrt(625) = 25 feet.

To add a walkway all the way around the garden, we need to increase both the length and width of the garden by the same amount. Let's say we choose the size of the stones as x feet.

Therefore, to find how many stones we need for each side of the garden, we divide the length of the garden by the size of the stones: 25 feet / x feet. And to find how many stones we need for the entire garden, we multiply the number of stones per side by 4 (since there are 4 sides in a square). So, the number of stones needed for the entire garden is 4 * (25 feet / x feet) = 100/x stones