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VMariaS [17]
2 years ago
14

The stream frontage is 800 feet in length and the property line is 3900 feet in length

Mathematics
1 answer:
valentina_108 [34]2 years ago
6 0

Using the Pythagorean Theorem, it is found that the lot has an area of about 35 acres.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

Researching the problem on the internet, the lot has one leg of 800 feet and the hypotenuse is of 3900 feet, hence the other leg is found as follows:

800^2 + l^2 = 3900^2

l = \sqrt{3900^2 - 800^2}

l = 3817 feet.

<h3>What is the area of a right triangle?</h3>

The area of a right triangle is given by half the multiplication of it's legs. Hence, the area of the lot, in square feet, is given by:

A = 0.5 x 800 x 3817 = 1,526,800 square feet.

Each square feet is equivalent to 0.000029568 acres, hence the area in acres is given by:

Aa = 0.000029568 x 1,526,800 = 35 acres.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

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