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A rectangle has an area of 525cm². Its length and width are whole numbers.
What are the possibilities for the two numbers?

Sagot :

Regalmocha17idn

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
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