Question

what is the area of this figure? square centimeters

Explanation:

Step1: Divide the figure into two rectangles.

We can divide the L - shaped figure into a vertical rectangle and a horizontal rectangle.

Step2: Calculate the area of the vertical rectangle.

The vertical rectangle has a length of 12 cm and a width of 2 cm. The area formula for a rectangle is $A = l\times w$. So, $A_1=12\times2 = 24$ $cm^2$.

Step3: Calculate the area of the horizontal rectangle.

The horizontal rectangle has a length of 6 cm and a width of 3 cm. Using the area formula $A = l\times w$, we get $A_2 = 6\times3=18$ $cm^2$.

Step4: Calculate the total area.

The total area of the figure $A = A_1+A_2$. So, $A=24 + 18=42$ $cm^2$.

Answer:

42