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You want to buy a triangular lot measuring 1740 feet by 1810 feet by 2460 feet. The price of the land is $2200 per acre. How much does the land cost?

(Hint: 1 acre = 43,560 square feet. Round your answer to two decimal places.)

Answer :

The cost of the land is $79,354.00.

To calculate the cost of the triangular lot, we need to find the area of the lot and convert it to acres, and then multiply

by the price per acre.
Step 1: Calculate the area of the triangular lot
To find the area of a triangle, we can use the formula: Area = (base * height) / 2
In this case, the base of the triangle is 1810 feet and the height is 1740 feet. Substituting these values into the formula, we get:
Area = (1810 * 1740) / 2 = 1,573,700 square feet
Step 2: Convert the area to acres
To convert square feet to acres, we need to divide the area by the conversion factor of 43,560 square feet per acre.
1,573,700 square feet / 43,560 square feet per acre = 36.07 acres
Step 3: Calculate the cost of the land
Now that we know the area of the triangular lot in acres (36.07 acres), we can multiply it by the price per acre ($2200) to get the total cost.
36.07 acres * $2200 per acre = $79,354.00
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