Question

draw a line to break apart the figure into rectangles. find the area of the figure. show your multiplication and addition equations. area = ____ square units

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given figure into a \(2\times2\) rectangle and a \(2\times6\) rectangle.

Step2: Calculate the area of each rectangle

For the first rectangle (size \(2\times2\)):
The area formula for a rectangle is \(A = l\times w\). Here, \(l = 2\), \(w = 2\), so \(A_1=2\times2 = 4\).
For the second rectangle (size \(2\times6\)):
Using the area formula \(A = l\times w\), with \(l = 6\), \(w = 2\), we get \(A_2=2\times6=12\).

Step3: Sum up the areas of the two rectangles

The total area \(A=A_1 + A_2\). Substitute \(A_1 = 4\) and \(A_2=12\) into the equation: \(A=4 + 12\).

Answer:

\(16\) square units