Area of Parallelograms and Triangles

The area of a parallelogram is calculated using the formula: base times height. The height is always perpendicular to the base, extending from the base to the opposite side.

The height of a triangle is always perpendicular to the base and extends from the base to the opposite vertex.

The area of a parallelogram is calculated by multiplying the base by the height: $6cm\times 4cm=24c{m}^2$.

The area of a parallelogram is calculated by multiplying the base by the height: $5cm\times 8cm=40c{m}^2$.

The area of a triangle is calculated using the formula $\frac{1}{2}\times \text{base}\times \text{height}$. Multiply $10cm$ by $5cm$ and then halve it to get $25c{m}^2$.

The 14 cm side is not the height because it is not perpendicular to the base. Without information about the height, the area cannot be determined from the image alone.