what is the area of this figure? square centimeters

Explanation:

Step1: Divide the figure into rectangles

We can divide the L - shaped figure into two rectangles. One rectangle has dimensions 6 cm by (7 - 3)=4 cm and the other has dimensions 3 cm by 3 cm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 6$ cm and width $w = 4$ cm, $A_1=6\times4 = 24$ $cm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 3$ cm and width $w = 3$ cm, $A_2=3\times3=9$ $cm^2$.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2=24 + 9=33$ $cm^2$.

Answer:

33