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.

Question

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

56 square meters
56 square meters

32 square meters
32 square meters

60 square meters
60 square meters

58 square meters

Answer 1

To find the area of the playing field, we first calculate the area of the original rectangle and then subtract the area of the removed rectangle.

1. Area of the original rectangle:

   • Length = 10 meters
   • Width = 6 meters
   • Area = Length × Width = 10 m × 6 m = 60 square meters

2. Area of the removed rectangle:

   • Remaining Length = 8 meters
   • Remaining Width = 4 meters
   • Area (of remaining portion) = Length × Width = 8 m × 4 m = 32 square meters

3. Area of the removed rectangle:

   • The area of the removed portion is the difference between the area of the original rectangle and the area of the remaining portion.
   • Area of the removed rectangle = Original area - Remaining area = 60 square meters - 32 square meters = 28 square meters (not needed in final answer).

4. Final Calculation:

   • The area of the playing field, which corresponds to the remaining shape, is equal to the area of the remaining rectangle.

Thus, the area of the playing field is 32 square meters.

The correct response is: 32 square meters.