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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

60 square meters
60 square meters

58 square meters
58 square meters

56 square meters
56 square meters

32 square meters
32 square meters
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Answer 1

To find the area of Rebekah's playing field, first we need to find the area of the original rectangle and then subtract the area of the rectangular area that is removed.

1. Area of the original rectangle:

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

2. Dimensions of the removed rectangle:

   • Remaining Length = 8 meters
   • Remaining Width = 4 meters
   • This means the removed rectangle has dimensions:
     • Length = 10 m - 8 m = 2 meters
     • Width = 6 m - 4 m = 2 meters
   • Area of the removed rectangle = Length × Width = 2 m × 2 m = 4 square meters

3. Area of the playing field:

   • Area of the playing field = Area of original rectangle - Area of removed rectangle
   • Area = 60 square meters - 4 square meters = 56 square meters.

Thus, the area of the playing field is 56 square meters.