Question

kamal wants to find the area of the polygon shown. he knows how to find the area of a rectangle and a triangle. a) how can kamal find the area of the polygon? a) kamal can add the area of the rectangle and the area of the triangle shown. b) what is the area of the rectangle? b) area of rectangle = 21 square units a = lw

Explanation:

Step1: Identify rectangle dimensions

Looking at the grid, the rectangle has a height of 4 units and a width of 3 units.

Step2: Calculate rectangle area

Use the area formula $A = l \times w$, where $l=4$, $w=3$.
$A = 4 \times 3 = 12$

Step3: Identify triangle dimensions

The triangle has a base of 3 units and a height of 4 units.

Step4: Calculate triangle area

Use the area formula $A = \frac{1}{2} \times b \times h$, where $b=3$, $h=4$.
$A = \frac{1}{2} \times 3 \times 4 = 6$

Step5: Find total polygon area

Add the rectangle and triangle areas.
$12 + 6 = 18$

Answer:

1. Kamal can add the area of the rectangle and the area of the triangle shown.
2. Area of rectangle = 12 square units
3. Total area of the polygon = 18 square units