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 dimensions \(4\times6\). Using the formula for the area of a rectangle \(A = l\times w\), we get \(4\times6=24\).

Step2: Calculate the area of the second part

The second part has dimensions \(4\times2\). Using the formula for the area of a rectangle \(A = l\times w\), we get \(4\times2 = 8\).

Step3: Calculate the total area

Add the areas of the two parts. \(24+8=(4\times6)+(4\times2)=4\times(6 + 2)=4\times8=32\).

Answer:

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