Question

each square in the figure below has an area of 1 square unit. we can break the figure into two parts. complete the equations to find the area of the entire figure.

Explanation:

Step1: Calculate the area of the first part

The first part has length \(6\) and width \(4\). Using the formula for the area of a rectangle \(A = l\times w\), we have \(A_1=6\times4 = 24\) square units.

Step2: Calculate the area of the second part

The second part has length \(2\) and width \(4\). Using the formula for the area of a rectangle \(A = l\times w\), we have \(A_2 = 2\times4=8\) square units.

Step3: Calculate the total area

The total area \(A\) of the figure is the sum of the areas of the two parts. So \(A=A_1 + A_2\). Substituting the values of \(A_1\) and \(A_2\), we get \(A=24 + 8=32\) square units.

Another way:

Step1: Use the formula for the area of the whole rectangle

The whole rectangle has length \(8\) and width \(4\). Using the formula \(A=l\times w\), we have \(A = 8\times4=32\) square units.

Answer:

The area of the entire figure is \(32\) square units.