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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

58 square meters
58 square meters

60 square meters
60 square meters

32 square meters
32 square meters

56 square meters

Answer 1

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

1. Calculate the area of the original rectangle:

   • Length = 10 meters
   • Width = 6 meters
   • Area of the original rectangle = Length × Width = 10 × 6 = 60 square meters

2. Calculate the area of the removed rectangle:

   • Remaining Length = 8 meters
   • Remaining Width = 4 meters
   • Area of the remaining rectangle = Length × Width = 8 × 4 = 32 square meters

3. Calculate the area of the removed rectangle:

   • The area of the removed rectangle = Area of original rectangle - Area of remaining rectangle
   • Area of removed rectangle = 60 square meters - 32 square meters = 28 square meters

4. Calculate the area of the playing field:

   • Area of the playing field = Area of original rectangle - Area of removed rectangle
   • Area of playing field = 60 square meters - 28 square meters = 32 square meters

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

Therefore, the final answer is:

32 square meters.