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
32 square meters
32 square meters
58 square meters
58 square meters
60 square meters
60 square meters
56 square meters
To find the area of the playing field, we first need to find the area of the complete rectangular shape and then subtract the area of the rectangle that was removed.
Area of complete rectangle = length x width = 10m x 6m = 60 square meters
Area of removed rectangle = length x width = 2m x 4m = 8 square meters
Area of playing field = 60 square meters - 8 square meters = 52 square meters
Therefore, the area of the playing field is 52 square meters.
The closest option provided is 58 square meters, but the correct answer is 52 square meters.