Question

Use the image to answer the 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

32 square meters
32 square meters

58 square meters
58 square meters

60 square meters
60 square meters

56 square meters

Answer 1

To find the area of the playing field, we 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 dimensions of the removed rectangle.**
- Remaining Length = 8 meters
- Remaining Width = 4 meters
- Area of the remaining rectangle = Remaining Length × Remaining Width = 8 m × 4 m = 32 square meters

3. **Area of the removed rectangle.**
- Area of removed rectangle = Original area - Remaining area
- Area of removed rectangle = 60 square meters - 32 square meters = 28 square meters

Since the question is about the area of the current playing field after the rectangle has been removed, we see that the current area would simply be the area of the remaining shape, which is 32 square meters.

Therefore, the area of the playing field is **32 square meters**.