Area of Polygons Practice.

1. Find the area of a triangle with a base of 5 units and a height of 8 units.

Area = 1/2 * base * height
Area = 1/2 * 5 * 8
Area = 20 square units

2. Find the area of a rectangle with a length of 10 units and a width of 6 units.

Area = length * width
Area = 10 * 6
Area = 60 square units

3. Find the area of a square with a side length of 4 units.

Area = side length^2
Area = 4^2
Area = 16 square units

4. Find the area of a trapezoid with a base of 6 units, a height of 4 units, and a top length of 8 units.

Area = 1/2 * (base1 + base2) * height
Area = 1/2 * (6 + 8) * 4
Area = 28 square units

5. Find the area of a pentagon with a side length of 5 units.

To find the area of a regular pentagon, we can use the formula:
Area = (1/4) * √(5*(5 + 2√5)) * side length^2
Area = (1/4) * √(5*(5 + 2√5)) * 5^2
Area = (1/4) * √(5*(5 + 2√5)) * 25
Area ≈ 59.78 square units.