Question

I need help finding the area of the pentagon please.

Answer 1

Given:

To Find:

The area of a given diagram

Formula:

$\begin{gathered} \text{Area of a rectangle=l}\times w \\ \text{Area of a triangle=}\frac{1}{2}\times base\times height \end{gathered}$

Explanation:

Area of a given diagram can be found by the sum of two shapes that is rectangle and triangle.

$\begin{gathered} \text{Area}=Area\text{ of a rectangle+Area of a triangle} \\ =(8\times7)+(\frac{1}{2}\times7\times3) \\ =56+(\frac{21}{2}) \\ =56+10.5 \\ =66.5cm^2 \end{gathered}$

Final Answer:

$\text{Area}=66.5cm^2$