How many different rectangles can you draw that have a perimeter of 48cm? whole numbers only.
48 divided by 4 is 12.
1 by 23 #1
2 by 22 #2
3 by 21 #3
4 by 20 #4
5 by 19 #5
6 by 18 #6
7 by 17 #7
8 by 16 #8
9 by 15 #9
10 by 14 #10
11 by 13 #11
12 by 12 #12
To find the different rectangles with a perimeter of 48cm, we need to identify all the possible combinations of length and width that result in a perimeter of 48cm.
Let's start by listing all the possible whole number lengths and widths that could make up this perimeter:
- Length: 1cm, Width: 23cm (perimeter = 2 × (1 + 23) = 48cm)
- Length: 2cm, Width: 22cm (perimeter = 2 × (2 + 22) = 48cm)
- Length: 3cm, Width: 21cm (perimeter = 2 × (3 + 21) = 48cm)
- Length: 4cm, Width: 20cm (perimeter = 2 × (4 + 20) = 48cm)
- Length: 5cm, Width: 19cm (perimeter = 2 × (5 + 19) = 48cm)
- Length: 6cm, Width: 18cm (perimeter = 2 × (6 + 18) = 48cm)
- Length: 7cm, Width: 17cm (perimeter = 2 × (7 + 17) = 48cm)
- Length: 8cm, Width: 16cm (perimeter = 2 × (8 + 16) = 48cm)
- Length: 9cm, Width: 15cm (perimeter = 2 × (9 + 15) = 48cm)
- Length: 10cm, Width: 14cm (perimeter = 2 × (10 + 14) = 48cm)
- Length: 11cm, Width: 13cm (perimeter = 2 × (11 + 13) = 48cm)
- Length: 12cm, Width: 12cm (perimeter = 2 × (12 + 12) = 48cm)
- Length: 13cm, Width: 11cm (perimeter = 2 × (13 + 11) = 48cm)
- Length: 14cm, Width: 10cm (perimeter = 2 × (14 + 10) = 48cm)
- Length: 15cm, Width: 9cm (perimeter = 2 × (15 + 9) = 48cm)
- Length: 16cm, Width: 8cm (perimeter = 2 × (16 + 8) = 48cm)
- Length: 17cm, Width: 7cm (perimeter = 2 × (17 + 7) = 48cm)
- Length: 18cm, Width: 6cm (perimeter = 2 × (18 + 6) = 48cm)
- Length: 19cm, Width: 5cm (perimeter = 2 × (19 + 5) = 48cm)
- Length: 20cm, Width: 4cm (perimeter = 2 × (20 + 4) = 48cm)
- Length: 21cm, Width: 3cm (perimeter = 2 × (21 + 3) = 48cm)
- Length: 22cm, Width: 2cm (perimeter = 2 × (22 + 2) = 48cm)
- Length: 23cm, Width: 1cm (perimeter = 2 × (23 + 1) = 48cm)
So, there are 23 different rectangles that can be drawn with a perimeter of 48cm using whole numbers for the length and width.
Thank you ms Sue
You're welcome, Julie.
Dimensions could be:
1 by 23
2 by 22
3 by 21
and so on