Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Question

Mathematics

Isabella Lowery

2 May, 13:20

Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

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Answers (1)

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Daniela Barajas · Answer 1

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2 (L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says;

2cm = 2 (L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm