Final answer:
To find the amount of artificial turf needed, we need to find the area by multiplying the length and the width of the field. But as the width was not provided, we cannot complete the calculation. The length of each side of the square frame is 5.75 inches, found by dividing the given perimeter by 4.
Step-by-step explanation:
This question is about a practical application of the concept of area in mathematics. To find out how much artificial turf is needed, the area of a rectangle, which is represented by the formula
Length × Width
, is required. Judging from the question, the length of the field is 150 yards but the width is not specifically given. Supposing that the width is 'W' yards, you would simply multiply 150 yards (length) by 'W' yards (width) to get the total area in square yards. This the amount of artificial turf that would be needed. However, this solution is incomplete because the width of the field (W) was not provided.
The second part of the question is about the dimensions of a square frame which is also another practical application of geometry in mathematics. The perimeter of a square is calculated with the formula 4 × side length. If the perimeter is 23 inches, you can find the length of each side of the frame by dividing the perimeter by 4. Therefore, each side of the frame is 23 inches ÷ 4 = 5.75 inches.
Learn more about Area and Perimeter