Question

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

The lot has an area of about ___ acres

Answer 1

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

What is the Pythagorean Theorem?

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.

What is the area of a right triangle?

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 https://brainly.com/question/654982

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