Area of Polygons practice

Answer 1

1. Find the area of a rectangle with a length of 6 units and a width of 4 units.

Area = length x width
Area = 6 units x 4 units
Area = 24 square units

2. Find the area of a triangle with a base of 10 units and a height of 8 units.

Area = (base x height) / 2
Area = (10 units x 8 units) / 2
Area = 80 square units / 2
Area = 40 square units

3. Find the area of a parallelogram with a base of 12 units and a height of 5 units.

Area = base x height
Area = 12 units x 5 units
Area = 60 square units

4. Find the area of a trapezoid with bases of 6 units and 4 units, and a height of 3 units.

Area = (sum of bases x height) / 2
Area = ((6 units + 4 units) x 3 units) / 2
Area = (10 units x 3 units) / 2
Area = 30 square units / 2
Area = 15 square units

5. Find the area of a hexagon with a side length of 7 units.

To find the area of a regular hexagon, you can use the formula: Area = (3√3 x s^2) / 2
Where s is the side length of the hexagon.

Area = (3√3 x 7 units^2) / 2
Area = (3√3 x 49 square units) / 2
Area = (147√3 square units) / 2
Area ≈ 127.305 units square units