Rebekah designs a playing field for a new sport. The playing field is pictured.

Question

What is the area of the playing field?

Answer 1

To find the area of the playing field, we need to calculate the area of each individual shape within the field and then add them together.

Rectangle A:
Length = 40 meters
Width = 20 meters
Area = Length x Width = 40m x 20m = 800 square meters

Rectangle B:
Length = 30 meters
Width = 30 meters
Area = Length x Width = 30m x 30m = 900 square meters

Triangle C:
Base = 15 meters
Height = 25 meters
Area = 1/2 x Base x Height = 1/2 x 15m x 25m = 187.5 square meters

Now we add the areas of each shape together:
Total Area = 800 sqm + 900 sqm + 187.5 sqm = 1887.5 square meters

Therefore, the area of the playing field is 1887.5 square meters.