Question

find the area of the figure below by first finding the areas of the rectangle and triangle.
area of the rectangle:
area of the triangle:
area of the figure:

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). From the figure, assume the length \(l = 2\) units and the width \(w=1\) unit. So \(A_{rectangle}=2\times1 = 2\) square units.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). The base \(b = 2\) units and the height \(h=1\) unit. So \(A_{triangle}=\frac{1}{2}\times2\times1= 1\) square unit.

Step3: Calculate the area of the figure

The area of the composite figure is the sum of the area of the rectangle and the area of the triangle. So \(A_{figure}=A_{rectangle}+A_{triangle}=2 + 1=3\) square units.

Answer:

Area of the rectangle: \(2\) square units; Area of the triangle: \(1\) square units; Area of the figure: \(3\) square units.