The area of a triangle can be calculated using Heron's formula. This formula is used when you know the lengths of all three sides of the triangle, which we do in this case (a = 22 ft, b = 34 ft, and c = 37 ft).

Here are the steps to calculate the area:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. So, s = (a + b + c) / 2 = (22 ft + 34 ft + 37 ft) / 2 = 46.5 ft.

2. Use Heron's formula to calculate the area. The formula is √[s(s - a)(s - b)(s - c)]. So, the area = √[46.5 ft * (46.5 ft - 22 ft) * (46.5 ft - 34 ft) * (46.5 ft - 37 ft)].

3. Calculate the area using the above formula. The area ≈ 330.83 ft².

So, none of the options A, B, C, or D is correct. The area of the backyard is approximately 330.83 ft².

Question

The area of a triangle can be calculated using Heron's formula. This formula is used when you know the lengths of all three sides of the triangle, which we do in this case (a = 22 ft, b = 34 ft, and c = 37 ft).

Here are the steps to calculate the area:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. So, s = (a + b + c) / 2 = (22 ft + 34 ft + 37 ft) / 2 = 46.5 ft.

2. Use Heron's formula to calculate the area. The formula is √[s(s - a)(s - b)(s - c)]. So, the area = √[46.5 ft * (46.5 ft - 22 ft) * (46.5 ft - 34 ft) * (46.5 ft - 37 ft)].

3. Calculate the area using the above formula. The area ≈ 330.83 ft².

So, none of the options A, B, C, or D is correct. The area of the backyard is approximately 330.83 ft².

Knowee AI · Accepted Answer

The area of a triangle can be calculated using Heron's formula. This formula is used when you know the lengths of all three sides of the triangle, which we do in this case (a = 22 ft, b = 34 ft, and c = 37 ft).

Here are the steps to calculate the area:

1. Calculate the semi-perimeter of the triangle. The semi-perimeter (s) is half the sum of the lengths of the sides of the triangle. So, s = (a + b + c) / 2 = (22 ft + 34 ft + 37 ft) / 2 = 46.5 ft.

2. Use Heron's formula to calculate the area. The formula is √[s(s - a)(s - b)(s - c)]. So, the area = √[46.5 ft * (46.5 ft - 22 ft) * (46.5 ft - 34 ft) * (46.5 ft - 37 ft)].

3. Calculate the area using the above formula. The area ≈ 330.83 ft².

So, none of the options A, B, C, or D is correct. The area of the backyard is approximately 330.83 ft².

Vaughn is laying sod in his backyard. A diagram of his backyard is below.Note: Figure not drawn to scaleIf a = 22 ft, b = 34 ft, and c = 37 ft, what is the area of the backyard? A. 1,003 ft2 B. 93 ft2 C. 27,676 ft2 D. 1,258 ft2

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