Question

what is the area of this figure? 5 cm 11 cm 21 cm 4 cm 10 cm 9 cm square centimeters

Explanation:

Step1: Divide figure into rectangles

We can divide the figure into two rectangles. One rectangle has dimensions 5 cm by 21 cm and the other has dimensions (9 - 5) = 4 cm by (10+11) = 21 cm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 21$ cm and width $w = 5$ cm, $A_1=21\times5 = 105$ $cm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 21$ cm and width $w=(9 - 5)=4$ cm, $A_2 = 21\times4=84$ $cm^2$.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2=105 + 84=189$ $cm^2$.

Answer:

189