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A square with side length 4 meters is cut out of a 5-by-6-meter
rectangle. What is the area of the remaining shape?


Sagot :

Sure, let's break down the solution step-by-step:

1. Determine the dimensions of the rectangle:
- Length of the rectangle = 6 meters
- Width of the rectangle = 5 meters

2. Calculate the area of the rectangle:
- Area of the rectangle = length × width
- Area of the rectangle = 6 meters × 5 meters = 30 square meters

3. Determine the side length of the square:
- Side length of the square = 4 meters

4. Calculate the area of the square:
- Area of the square = side × side
- Area of the square = 4 meters × 4 meters = 16 square meters

5. Calculate the area of the remaining shape after the square is cut out:
- Area of the remaining shape = Area of the rectangle - Area of the square
- Area of the remaining shape = 30 square meters - 16 square meters = 14 square meters

Therefore, the area of the remaining shape after cutting out the square from the rectangle is 14 square meters.