Answer:To determine if the given lengths could be the areas of the three squares, we need to calculate the side lengths of the squares.
For a square, the area is equal to the side length squared.
1. For the first set of areas 12ft, 16ft, and 20ft:
- √12 ≈ 3.46ft
- √16 = 4ft
- √20 ≈ 4.47ft
The side lengths are not whole numbers, so this set of areas doesn't fit the criteria for being areas of squares.
2. For the second set of areas 10ft, 18ft, and 30ft:
- √10 ≈ 3.16ft
- √18 ≈ 4.24ft
- √30 ≈ 5.48ft
Again, the side lengths are not whole numbers, so this set of areas doesn't match the areas of squares.
3. For the third set of areas 4ft, 5ft, and 12ft:
- √4 = 2ft
- √5 ≈ 2.24ft
- √12 ≈ 3.46ft
These side lengths are valid, making this set a possible set of areas for squares.
4. For the fourth set of areas 8ft, 16ft, and 24ft:
- √8 ≈ 2.83ft
- √16 = 4ft
- √24 ≈ 4.90ft
The side lengths are not whole numbers, so this set of areas doesn't satisfy the conditions for being areas of squares.
Based on the calculations:
- The areas 4ft, 5ft, and 12ft could be the areas of the three squares.
Step-by-step explanation:
