Paula has been told that the product of the length and width of her house is 900 square feet. Her house is in the shape of a rectangle. Name three possible dimensions of her house.
30 * 30
15 * 60
7.5 * 120 (this is a long mobile home )
:)
25 * 36 reasonable
20 * 45
10 * 90
To find three possible dimensions of Paula's house, we need to solve for the length and width by considering that the product of the two dimensions is 900 square feet.
Here's how we can approach it:
1. Start by listing all the factor pairs of 900:
- 1 × 900
- 2 × 450
- 3 × 300
- 4 × 225
- 5 × 180
- 6 × 150
- 9 × 100
- 10 × 90
- 12 × 75
- 15 × 60
- 18 × 50
- 20 × 45
- 25 × 36
- 30 × 30
2. Since Paula's house is in the shape of a rectangle, each factor pair represents a possible length and width.
Three possible dimensions are:
- Length = 5 feet, Width = 180 feet
- Length = 6 feet, Width = 150 feet
- Length = 9 feet, Width = 100 feet
Note: There are various other possibilities, but these three examples should give you an idea of how to find the dimensions of a rectangle given the product of area.