Answer:To determine the length of the third side of each triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right triangle with one side measuring 15 feet (along the back fence) and another side measuring 10 feet (along the fence). Let's call the length of the third side x.
Using the Pythagorean theorem, we can set up the following equation:
15^2 + 10^2 = x^2
225 + 100 = x^2
325 = x^2
To solve for x, we take the square root of both sides:
√325 = x
x ≈ 18.03 feet
So, the length of the third side of each triangle is approximately 18.03 feet.
Now, to determine how many brick pavers need to be purchased, we need to calculate the perimeter of each triangle. The perimeter of a triangle is the sum of the lengths of its three sides.
In this case, the two known sides are 15 feet and 10 feet. The third side, which we just calculated, is approximately 18.03 feet.
Therefore, the perimeter of each triangle is:
15 + 10 + 18.03 = 43.03 feet
Since we need to outline each garden bed with 8-inch brick pavers, we need to convert the measurement to feet. There are 12 inches in a foot, so 8 inches is equal to 8/12 = 0.67 feet.
To determine how many brick pavers need to be purchased, we divide the perimeter of each triangle by the length of each brick paver:
43.03 feet / 0.67 feet = approximately 64 brick pavers.
Therefore, approximately 64 brick pavers need to be purchased to outline each garden bed.
Explanation: