what rectangles with whole-centimetre sides have a perimeter of 44cm

See the Related Questions below.

a rectangle with a sides of 20cm and 2cm

To find rectangles with whole-centimeter sides that have a perimeter of 44 cm, we should consider the properties of rectangles and use some basic math.

1. Let's start by considering the formula for the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

2. Since we are looking for rectangles with whole-centimeter sides, the length and width should be whole numbers. Let's denote the length as "L" and the width as "W."

3. According to the given information, the perimeter is 44 cm. So, we can write the equation as: 44 = 2L + 2W.

4. We need to find pairs of whole numbers (L, W) that satisfy this equation. Let's try different combinations:
- If we let L = 1 and W = 21, the equation becomes: 44 = 2(1) + 2(21) = 2 + 42, which is not correct.
- If we let L = 2 and W = 20, the equation becomes: 44 = 2(2) + 2(20) = 4 + 40, which is not correct.
- If we let L = 3 and W = 19, the equation becomes: 44 = 2(3) + 2(19) = 6 + 38, which is not correct.
- Continuing this process, we find that if L = 5 and W = 17, the equation becomes: 44 = 2(5) + 2(17) = 10 + 34, which is correct.

5. Therefore, one rectangle that satisfies the given conditions is 5 cm by 17 cm. Additionally, the rectangle with dimensions 17 cm by 5 cm is also a valid solution since the order of the length and width does not matter for a rectangle.

So, rectangles with whole-centimeter sides that have a perimeter of 44 cm are either 5 cm by 17 cm or 17 cm by 5 cm.