The dimensions of a triangular lot are 193 feet by 134 feet by 186 feet. If the price of such land is $3 per square foot, how much does the lot cost?
Look up how to find the area of a triangle using Heron's Formula.
Once you have the area in square feet, multiply that by 3.
To find the cost of the triangular lot, we need to calculate the area of the lot and then multiply it by the price per square foot.
Since the lot is a triangle, we can calculate its area using Heron's formula or by dividing it into two right triangles.
Let's use the formula for the area of a triangle with sides a, b, and c:
Area = √(s * (s - a) * (s - b) * (s - c))
Where s is the semiperimeter of the triangle, which is given by:
s = (a + b + c) / 2
Let's calculate the area:
s = (193 + 134 + 186) / 2 = 253.5
Area = √(253.5 * (253.5 - 193) * (253.5 - 134) * (253.5 - 186))
= √(253.5 * 60.5 * 119.5 * 67.5)
≈ √(5171229.375)
≈ 2272.56 square feet
Now that we have the area of the lot, we can calculate the cost:
Cost = Area * Price per square foot
= 2272.56 * $3
≈ $6817.68
Therefore, the lot would cost approximately $6817.68.