Question

kamal wants to find the area of the polygon shown and a triangle.
how can kamal find the area of the polygon?
kamal can add the area of the rectangle and the area of the triangle shown.
what is the area of the rectangle?
area of rectangle = 12 square units
what is the area of the triangle?
area of triangle = 10 square units
area = \frac{1}{2}\cdot base\cdot height

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). From the grid, assume the length is \(4\) units and the width is \(3\) units. So \(A_{rectangle}=4\times3 = 12\) square units.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). From the grid, assume the base is \(4\) units and the height is \(5\) units. Then \(A_{triangle}=\frac{1}{2}\times4\times5=10\) square units.

Step3: Calculate the area of the polygon

The area of the polygon is the sum of the area of the rectangle and the area of the triangle. So \(A = A_{rectangle}+A_{triangle}=12 + 10=22\) square units.

Answer:

The area of the polygon is \(22\) square units.