The area around the rectangular pool is to be paved for a distance of three metres out from the edge of the pool. Each paving block is a square with sides of 0.5 metres. How many blocks needed?
In my hw book, the diagram has a rectangle, and the width is 2metres, and the length is 3.5metres, and all 4 sides outside of the rectangle is paving blocks.
Please help
so, the lengths of the sides of the paved pool are 3m longer than the dimensions of the pool. That is, 5 by 6.5
Since each tile is only 1/2 meter, that will be 10 by 13 tiles
The perimeter is now 2(10+13) = 52 tiles
As it's 3 meters around the pool, we should add 6 to both width and length.
so the total of blocks + pool is (2+6)*(3.5+6)=76, and the area of pool is 2*3.5=7, 76-7=69 which is the area of blocks. The paving blocks has an area of 0.5*0.5=0.25
The total area needed to be paved/ the area of one block = # of blocks
69*4=276 blocks needed.
btw, the question sounds unreasonable, the paved blocks have a much larger area then the pool.
To find out how many blocks are needed, we need to calculate the area of the paved area around the pool and then divide it by the area of each paving block.
First, let's find the area of the paved area around the pool. Given that the width of the pool is 2 meters and the length is 3.5 meters, we can extend each side of the pool by 3 meters to get the dimensions of the paved area.
The width of the paved area will be 2 meters + 3 meters + 3 meters = 8 meters.
The length of the paved area will be 3.5 meters + 3 meters + 3 meters = 9.5 meters.
To find the area of the paved area, you can multiply the width by the length:
Area of paved area = 8 meters * 9.5 meters = 76 square meters.
Now, let's find the area of each paving block. Given that each block is a square with sides of 0.5 meters, we can calculate its area.
Area of each block = 0.5 meters * 0.5 meters = 0.25 square meters.
To determine the number of blocks needed, divide the area of the paved area by the area of each block:
Number of blocks needed = Area of paved area / Area of each block
Number of blocks needed = 76 square meters / 0.25 square meters ≈ 304 blocks.
Therefore, approximately 304 paving blocks are needed to pave the area around the rectangular pool.