Question

use any strategy to determine the area of the figure. use the sketch tool if it helps with your thinking.

Explanation:

Step1: Divide the figure

Divide the figure into a rectangle and two congruent triangles.

Step2: Calculate the area of the rectangle

The rectangle has length \(4\) units and width \(2\) units. Area of rectangle \(A_{1}=l\times w = 4\times2=8\) square units.

Step3: Calculate the area of one triangle

Each triangle has base \(1\) unit and height \(2\) units. Area of one triangle \(A_{t}=\frac{1}{2}\times b\times h=\frac{1}{2}\times1\times2 = 1\) square unit.

Step4: Calculate the total area

Since there are two triangles, area of two triangles \(A_{2}=2\times1 = 2\) square units. Total area \(A=A_{1}+A_{2}=8 + 2=10\) square units.

Answer:

The area of the figure is \(10\) square units.