Answer :
Possibilities for the two numbers (length and width) are:
- 1 and 525
- 3 and 175
- 5 and 105
- 7 and 75
- 15 and 35
- 21 and 25
These are the factors of 525 so they serve as the possibility for the length and the width of a rectangle with an area of 525 cm².
Possible dimensions of the rectangle are: 1×525, 3×175, 5×105, 7×75, 15×35, and 21×25 cm.
To determine the possible dimensions of the rectangle, we need pairs of whole numbers that multiply to give 525.
The factors of 525 are:
- 1 × 525
- 3 × 175
- 5 × 105
- 7 × 75
- 15 × 35
- 21 × 25
These pairs of numbers represent the possible length and width (or vice versa) of the rectangle:
- 1 cm × 525 cm
- 3 cm × 175 cm
- 5 cm × 105 cm
- 7 cm × 75 cm
- 15 cm × 35 cm
- 21 cm × 25 cm