Question

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

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with dimensions \(3 + 3=6\) in (length) and \(3\) in (width), and another rectangle with dimensions \(2\) in (length) and \(3\) in (width).

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is \(A = l\times w\). For the first rectangle with \(l = 6\) in and \(w = 3\) in, \(A_1=6\times3 = 18\) in².

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 2\) in and \(w = 3\) in, \(A_2=2\times3=6\) in².

Step4: Calculate the total area

The total area \(A\) of the figure is the sum of the areas of the two rectangles, \(A=A_1 + A_2=18 + 6=24\) in².

Answer:

24 in²