Area of the polygon practice for math 6B
1. Find the area of a rectangle with a length of 8 cm and a width of 5 cm.
Area = length x width
Area = 8 cm x 5 cm
Area = 40 cm²
2. Find the area of a triangle with a base of 6 cm and a height of 4 cm.
Area = 1/2 x base x height
Area = 1/2 x 6 cm x 4 cm
Area = 12 cm²
3. Find the area of a parallelogram with a base of 10 cm and a height of 7 cm.
Area = base x height
Area = 10 cm x 7 cm
Area = 70 cm²
4. Find the area of a trapezoid with a height of 5 cm, a base of 3 cm, and a top length of 7 cm.
Area = 1/2 x (base + top length) x height
Area = 1/2 x (3 cm + 7 cm) x 5 cm
Area = 1/2 x 10 cm x 5 cm
Area = 25 cm²
5. Find the area of a regular hexagon with a side length of 6 cm.
To find the area of a regular hexagon, we can divide it into 6 equilateral triangles.
Area of one equilateral triangle = (√3/4) x side length^2
Area of one equilateral triangle = (√3/4) x 6 cm^2
Area of one equilateral triangle = (√3/4) x 36 cm^2
Area of one equilateral triangle ≈ 15.59 cm²
Area of regular hexagon = 6 x 15.59 cm²
Area of regular hexagon ≈ 93.53 cm²