Use the image to answer the question.

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
56 square meters
Skip to navigation

Answer 1

To find the area of the playing field, we first need to calculate the area of 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 = Length × Width = 10 m × 6 m = 60 square meters

2. Calculate the area of the removed rectangle:

   • Remaining length = 8 meters
   • Remaining width = 4 meters
   • Area of the remaining rectangle = 8 m × 4 m = 32 square meters

Now, we will find the area of the removed rectangle:

• Area of the removed rectangle = Area of the original rectangle - Area of the remaining rectangle
• Area removed = 60 square meters - 32 square meters = 28 square meters (This means the area of the removed piece would be the area of the original area left).

In this situation it seems instead we directly calculate the area of the field shape after the rectangle is removed:

• Area of the remaining rectangle = 32 square meters
• Total area of the original rectangle = 60 square meters.
• The area of the field after removing this rectangle = 60 square meters.

But the whole area of the shape mentioned originally left is more about 56 square meters, so:

• Area of the rectangle removed = area of the plus overall area of the shape mentioned:
• Final area = 60 - 4 = 56 square meters.

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