use a centimeter squared paper to create as many different rectangle as you can with a perimeter of 18 cm find the area of each rectangle.
2w+2L = 18
w+L = 9
8 and 1 ---> 8
7 and 2 ---> 14
6 and 3 ---> 18
5 and 4 ---> 20
note - the closer to a square, the bigger the area
To create as many different rectangles with a perimeter of 18 cm on centimeter squared paper, we need to consider the different combinations of lengths and widths. Here are some possible rectangles and their corresponding areas:
1. Rectangle with sides 1 cm x 8 cm
Area = 1 cm * 8 cm = 8 cm²
2. Rectangle with sides 2 cm x 7 cm
Area = 2 cm * 7 cm = 14 cm²
3. Rectangle with sides 3 cm x 6 cm
Area = 3 cm * 6 cm = 18 cm²
4. Rectangle with sides 4 cm x 5 cm
Area = 4 cm * 5 cm = 20 cm²
5. Rectangle with sides 5 cm x 4 cm
Area = 5 cm * 4 cm = 20 cm²
6. Rectangle with sides 6 cm x 3 cm
Area = 6 cm * 3 cm = 18 cm²
7. Rectangle with sides 7 cm x 2 cm
Area = 7 cm * 2 cm = 14 cm²
8. Rectangle with sides 8 cm x 1 cm
Area = 8 cm * 1 cm = 8 cm²
Note that rectangles with the same area might have different dimensions.
To create rectangles with a perimeter of 18 cm using centimeter squared paper, we need to find all possible combinations of length and width that add up to 18. The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Let's start by listing all the possible combinations:
1. Length = 1 cm, Width = 8 cm (P = 2(1 + 8) = 18 cm), Area = Length x Width = 1 cm x 8 cm = 8 cm²
2. Length = 2 cm, Width = 7 cm (P = 2(2 + 7) = 18 cm), Area = Length x Width = 2 cm x 7 cm = 14 cm²
3. Length = 3 cm, Width = 6 cm (P = 2(3 + 6) = 18 cm), Area = Length x Width = 3 cm x 6 cm = 18 cm²
4. Length = 4 cm, Width = 5 cm (P = 2(4 + 5) = 18 cm), Area = Length x Width = 4 cm x 5 cm = 20 cm²
5. Length = 5 cm, Width = 4 cm (P = 2(5 + 4) = 18 cm), Area = Length x Width = 5 cm x 4 cm = 20 cm²
6. Length = 6 cm, Width = 3 cm (P = 2(6 + 3) = 18 cm), Area = Length x Width = 6 cm x 3 cm = 18 cm²
7. Length = 7 cm, Width = 2 cm (P = 2(7 + 2) = 18 cm), Area = Length x Width = 7 cm x 2 cm = 14 cm²
8. Length = 8 cm, Width = 1 cm (P = 2(8 + 1) = 18 cm), Area = Length x Width = 8 cm x 1 cm = 8 cm²
So, with a perimeter of 18 cm, we can create 8 different rectangles. Their areas are as follows:
1. 8 cm²
2. 14 cm²
3. 18 cm²
4. 20 cm²
5. 20 cm²
6. 18 cm²
7. 14 cm²
8. 8 cm²