The area of the rectangle is 36 cm2 and the lengths of its sides are natural numbers

The area of the rectangle is 36 cm2 and the lengths of its sides are natural numbers, can the perimeter of the rectangle be equal …

The area of a rectangle is found by the product of its length and width. Let’s find what combinations of numbers can give us the number 36:

1 * 36 = 36;

2 * 18 = 36;

3 * 12 = 36;

4 * 9 = 36.

Now let’s plug those numbers into the expression for the perimeter. The perimeter is the sum of the length and width times 2:

2 (1 + 36) = 74;

2 (2 + 18) = 40;

2 (3 + 12) = 30;

2 (4 + 9) = 26.



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