7 13 15 7 find the area of the polygon in square units
To find the area of the polygon, we would need to know the specific shape of the polygon and the lengths of its sides. However, if we assume that the polygon is a quadrilateral with side lengths of 7, 13, 15, and 7 units, we can use Heron's formula to calculate the area.
Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:
Area = sqrt(s * (s - a) * (s - b) * (s - c))
where s is the semiperimeter of the triangle, calculated as:
s = (a + b + c) / 2
For our quadrilateral with side lengths of 7, 13, 15, and 7 units, the semiperimeter would be:
s = (7 + 13 + 15 + 7) / 2 = 21
Plugging this into Heron's formula:
Area = sqrt(21 * (21 - 7) * (21 - 13) * (21 - 15))
Area = sqrt(21 * 14 * 8 * 6)
Area = sqrt(14112)
Area ≈ 118.747 square units
Therefore, the area of the quadrilateral with side lengths of 7, 13, 15, and 7 units is approximately 118.747 square units.