10 m
8 m
15 m
Rhombus
What is the area of the parallelogram?
To find the area of a rhombus, you can use the formula:
Area = base * height
In a rhombus, the base is one of the sides and the height is the perpendicular distance between two parallel sides.
Given that the four sides of the rhombus are 10m, 8m, 15m, and 15m, the base of the parallelogram would be 15m.
To find the height, we can use the formula for the height of a rhombus:
\(height = \sqrt{side1^2 - (\frac{base}{2})^2}\)
\(height = \sqrt{10^2 - (\frac{15}{2})^2}\)
\(height = \sqrt{100 - 56.25}\)
\(height = \sqrt{43.75}\)
\(height \approx 6.61m\)
Now, we can calculate the area of the parallelogram:
Area = base * height
Area = 15m * 6.61m
Area = 99.15 square meters
Therefore, the area of the parallelogram is 99.15 square meters.