Given the area of the figure, find its perimeter to the nearest tenth.
1. A = 90 ft^2; number of squares: 6.
A: ?
2. A baseball diamond is a square with an area of 8100 square feet. The length of the diagonal of any square is equal to √2 times it's side length. Finds fhe distance from home plate to second base (the length of the diagonal) to the nearest hundredth of a foot.
A: ?
90/6 = 15 ft^2 each
so the side of each square is sqrt 15
2 sqrt 15 + 3 sqrt 15 + 2 sqrt 15 + 3 sqrt 15 :)
sqrt 8100 = 90 ft baselines
so 90 sqrt 2
1. The perimeter of the figure is 54. 2 ft.?
2. The length from home plate to second base is 127. 28 ft.?
To find the perimeter of a figure, you need to know the length of all its sides. However, just knowing the area is not sufficient to determine the perimeter.
For question 1, you provided the area and the number of squares, but you didn't mention any additional information about the shape of the figure or the dimensions of the individual squares. Without this information, it is not possible to accurately determine the perimeter.
For question 2, you mentioned that a baseball diamond is a square with an area of 8100 square feet. To find the length of the diagonal (the distance from home plate to second base), you can use the formula for the diagonal of a square. Since the area of the square is given, you can calculate the side length and then find the length of the diagonal.
Here's how you can calculate the length of the diagonal:
1. Find the side length of the square by taking the square root of the given area:
side length = √(area) = √(8100) = 90 ft
2. Use the formula for the diagonal of a square, which states that the length of the diagonal is equal to the square root of 2 times the side length:
diagonal = √(2 * side length) = √(2 * 90) = √(180) ≈ 13.42 ft
Therefore, the distance from home plate to second base (the length of the diagonal) is approximately 13.42 feet, rounded to the nearest hundredth.
Please provide more information or clarify if there are additional details needed for question 1 in order to determine the perimeter.