Question

find the area of the shape. (sides meet at right angles.) 3 cm 2 cm 2 cm 1 cm 2 cm 2 cm 6 cm square centimeters

Explanation:

Step1: Calculate the area of the upper rectangle

The upper rectangle has length \(3\) cm and width \(2\) cm. Using the formula for the area of a rectangle \(A = l\times w\), we get \(A_1=3\times2 = 6\) \(cm^{2}\).

Step2: Calculate the length of the lower rectangle

The length of the lower rectangle is \(6\) cm (given), and the width is \(2\) cm. Using the area formula \(A = l\times w\), we get \(A_2 = 6\times2=12\) \(cm^{2}\).

Step3: Calculate the total area

The total area \(A\) of the shape is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substituting the values, we have \(A=6 + 12=18\) \(cm^{2}\).

Answer:

\(18\)