Area of Composite Figures Quick Check
5 of 55 of 5 Items
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?
(1 point)
Responses
60 square meters
60 square meters
56 square meters
56 square meters
32 square meters
32 square meters
58 square meters
To find the area of the playing field, we first need to find the area of the entire rectangle and then subtract the area of the smaller rectangle that was removed.
Area of the entire rectangle = length * width
Area of the entire rectangle = 10m * 6m
Area of the entire rectangle = 60 square meters
Area of the smaller rectangle = length * width
Area of the smaller rectangle = 8m * 4m
Area of the smaller rectangle = 32 square meters
Area of the playing field = Area of the entire rectangle - Area of the smaller rectangle
Area of the playing field = 60 square meters - 32 square meters
Area of the playing field = 28 square meters
Therefore, the area of the playing field is 28 square meters.
Therefore, the closest option is "32 square meters".