Question

find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions \(4\ cm\times2\ cm\) and the other has dimensions \((3 + 3)\ cm\times2\ cm\).

Step2: Calculate area of first rectangle

The area formula for a rectangle is \(A = l\times w\). For the first rectangle with length \(l = 4\ cm\) and width \(w = 2\ cm\), \(A_1=4\times2 = 8\ cm^{2}\).

Step3: Calculate area of second rectangle

The length of the second rectangle is \(l=3 + 3=6\ cm\) and width \(w = 2\ cm\). So \(A_2=6\times2=12\ cm^{2}\).

Step4: Calculate total area

The total area \(A\) of the shape is the sum of the areas of the two rectangles, \(A=A_1 + A_2=8 + 12=20\ cm^{2}\).

Answer:

20