have you drawn a diagram on graph paper?
or maybe actually used some tile, such as Scrabble pieces?
Consider a square, 3x3 surrounded by tiles. Are there 16 tiles?
A pool is surrounded by paving blocks which are 1 metre square. There are 16 blocks are used to surround the pool.
a) What is the perimeter of the pool?
b) What are the area of the various pools which could be surrounded by these 16 blocks?
3 answers
yes I have the diagram in my hw book
I'm just not sure how to find the perimeter and area
the diagram has 4 blocks on each side... so 4 blocks on the top, 4 blocks on both sides, and 4 blocks on the bottom
I'm just not sure how to find the perimeter and area
the diagram has 4 blocks on each side... so 4 blocks on the top, 4 blocks on both sides, and 4 blocks on the bottom
well, geez - count the area! The blocks each take up 1m of width, so if the square's outside is 4x4, the inside is 3x3 making an area of 9
If the outside dimensions are x,y then the perimeter is 2(x+y)
We need 2(x+y)=16, so x+y=8
You can see that the inner dimensions are (x-1),(y-1), so the inner perimeter is 2(x+y-2) = 2(6) = 12 and the area is (x-1)(y-1)
So, what other combinations of x,y add up to 8?
Note that the smallest of the pair must be at least 2, since otherwise you just have a line of blocks, not a rectangle enclosing some hopefully nonzero area.
If the outside dimensions are x,y then the perimeter is 2(x+y)
We need 2(x+y)=16, so x+y=8
You can see that the inner dimensions are (x-1),(y-1), so the inner perimeter is 2(x+y-2) = 2(6) = 12 and the area is (x-1)(y-1)
So, what other combinations of x,y add up to 8?
Note that the smallest of the pair must be at least 2, since otherwise you just have a line of blocks, not a rectangle enclosing some hopefully nonzero area.