What is the price (in dollars) of the land per acre?

Question

You want to buy a triangular lot measuring 1380 feet by 1840 feet by 2470 feet. The cost of the land is $62,000. What is the price (in dollars) of the land per acre? (Hint: 1 acre = 43,560 square feet. Round your answer to two decimal places.)

Answer 1

Use cos law to get an angle: 2470² = 1380² + 1840² - 2(1380)(1840)cosθ (solve for theta)

A = (1/2)(1380)(1840)sinθ 1/2 of the area of the cross-product magnitude

Convert from ft² to acres by dividing by 43,560 ft²/acre

Final step is to divide the cost of the land by the acres to get cost/acre.

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