Question

What is the area of a parallelogram and triangle?

Answer 1

Determining the area of a parallelogram and triangle.

Area of a parallelogram.

The parallelogram's area is the space contained by its 4 sides.
The area of a parallelogram is equal to the product of its length and height.
The total of a quadrilateral's internal angles equals $360°$.
Formula. Area of a parallelogram= Base $\times$ Height

Area of a triangle.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

Formula. Area of a triangle =$\frac{1}{2}$$\times$ Base $\times$ Height

Example.

Base (b) = 4 cm

Height (h) = 5 cm

Area (a)=?

Calculating the area of a parallelogram.

$$\begin{gathered} \text{Area}=4\times 5 \\ \text{⇒}=20{\text{cm}}^2 \end{gathered}$$

Calculating the area of a triangle.

$$\begin{gathered} \text{Area}=\frac{1}{2}\times 4\times 5 \\ \text{⇒}=\frac{20}{2}{\text{cm}}^2 \\ \text{⇒}=10{\text{cm}}^2 \end{gathered}$$

Hence, the area of a parallelogram and triangle is “$20{\text{cm}}^2$ and $10{\text{cm}}^2$”.