Area of Composite Figures Quick Check
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Question
Use the image to answer the question.
A horizontally aligned rectangle is shown as 10 meters long and 6 meters wide. A rectangular area is removed from the bottom right corner, with the remaining length as 8 meters and remaining width as 4 meters. Right angle marks are shown in the five corners of the composite shape.
Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
To find the area of the playing field, we need to find the area of the entire rectangle and then subtract the area of the rectangle that was removed.
The area of the rectangle with dimensions 10 meters by 6 meters is:
10 meters * 6 meters = 60 square meters
The area of the removed rectangle with dimensions 8 meters by 4 meters is:
8 meters * 4 meters = 32 square meters
Therefore, the area of the playing field is:
60 square meters - 32 square meters = 28 square meters
So, the area of the playing field is 28 square meters.