The length of the paving block will determine the perimeter. While there could be a number of different rectangles formed using the same number of blocks the perimeters will not vary; only the area inside the path could vary.
Complete the following table. Use squared paper if you need to.
The table is put like THIS:
Number of 1metre square blocks
- 40
- 32
- 28
Distance around the outside (external)
*blank since you need to ANSWER THE QUESTIONS*
Distance around the inside (internal)
*blank since you need to ANSWER THE QUESTIONS*
a) Are you able to find the formula which will describe all these examples and others?
a i) External Perimeter = Number of Blocks +
a ii) Internal Perimeter = Number of Blocks -
you need to play around with this. To start with, suppose you form a square.
Then 1/4 of the blocks will be on each side.
Use some graph paper, if you have trouble picturing the diagram.
Suppose you had 16 blocks. You could form rectangles of the sizes
4x4
3x5
2x6
(why not 1x7?)
have at it.