Question

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

Explanation:

Step1: Divide the figure into two rectangles

The figure can be divided into a rectangle with length \(6\) cm and width \((9 - 4)\) cm, and another rectangle with length \(4\) cm and width \(2\) cm.

Step2: Calculate the area of the first rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the first rectangle, \(l = 6\) cm and \(w=9 - 4=5\) cm. So, \(A_1=6\times5 = 30\) \(cm^{2}\).

Step3: Calculate the area of the second rectangle

For the second rectangle, \(l = 4 + 2=6\) cm and \(w = 2\) cm. Using the area formula \(A = l\times w\), we get \(A_2=4\times2=8\) \(cm^{2}\).

Step4: Sum the areas of the two rectangles

The total area \(A=A_1 + A_2\). Substituting the values, \(A = 30+8=38\) \(cm^{2}\).

Answer:

\(38\) \(cm^{2}\)