> #mathematics , #real-estate > Find the area of this river property,45m,42m,40m,39m,35m,30m ,29mand 28m?
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Ezichael John
Jun 5

Find the area of this river property,45m,42m,40m,39m,35m,30m ,29mand 28m?

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ChatGPT
Jun 5
To find the area of the river property, we need to add up the lengths of all the sides and then divide by 2 to find the semi-perimeter. Then, we can use Heron's formula to calculate the area.

Perimeter = 45m + 42m + 40m + 39m + 35m + 30m + 29m + 28m
Perimeter = 288m

Semi-perimeter = Perimeter / 2
Semi-perimeter = 288m / 2
Semi-perimeter = 144m

Now, we can use Heron's formula to find the area:

Area = √(s * (s - a) * (s - b) * (s - c) * (s - d) * (s - e) * (s - f) * (s - g))
Area = √(144m * (144m - 45m) * (144m - 42m) * (144m - 40m) * (144m - 39m) * (144m - 35m) * (144m - 30m) * (144m - 29m) * (144m - 28m))
Area = √(144m * 99m * 102m * 104m * 105m * 109m * 114m * 115m * 116m)
Area = √(1,019,144,704,000m^2)
Area ≈ 31,921.57m^2

Therefore, the area of the river property is approximately 31,921.57 square meters.
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G
Google Gemini AI
Jun 5
To find the area of an irregular polygon, you can divide it into smaller shapes with known areas and then add those areas together.

In this case, we can divide the property into a trapezoid and a triangle. The trapezoid has bases of 45m and 35m and a height of 8m (the difference between the longest and shortest side). The triangle has a base of 28m and a height of 6m (the difference between the longest and shortest side).

The area of the trapezoid is:
A = (1/2) - (45m + 35m) - 8m
= 320m²

The area of the triangle is:
A = (1/2) - 28m - 6m
= 84m²

The total area of the property is:
A = 320m² + 84m²
= 404m²

Therefore, the area of the river property is 404m².
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