a (30× 10) m^2 hall is to be paved with squared tiles of side 2m each. the tiles are of three different colour and to be arranged as shown in the figure. the tiles arranged as shown in the figure. the tiles arranged on all sides is to be grey. out of the rest , white tiles are twice of pink tiles. find the number of grey , pink and white tiles.
Answers
Answer:
area of floor = 20×10 m^2
=200 m^2
area of each tile = 2×2 m^2
=4 m^2
no of tiles= (area of floor)/(area of each tile)
= 200/4
= 50 tiles
no of black tiles will be 26 tiles
explanation: the floor is a rectangle.if on the two sides of 20 m there are 20 tiles ( each side 10 tiles) then other two sides of 10 m ,2 tiles will be common on the corners.So, 3 tiles each on sides of 10 m.total tiles = (10×2)+(3×2)
total tiles = 26 tiles
remaining tiles= 50-26
= 24
no of white tiles= 1/3rd of remaining
= 1/3× 24
= 8 tiles
no of blue tiles= 24 - 8
= 16 tiles
Therefore ,there are 16 blue , 8 white and 26 white tiles.
Step-by-step explanation:
Answer:
Total number of tiles-75, Grey-36, White-26,Pink-13
Step-by-step explanation:
Area of the hall- 30x10 = 300m^2(lengthxbreadth)
Area of one tile - 2x2=4m^2(area of squared tile with side 2metre)
Therefore total number of tiles needed=Area of hall/Area of 1tile = 300/4= 75 Tiles
No of grey tiles to be paved on the sides
There will be 4tiles common for the length and breadth sides of the hall, each tile is 2m,
Therefore the length after deducting 2tiles of 2m each on both sides = 30-2-2=26
For 26metres on one side the number of 2metre tiles= 26/2=13 tiles on one side, tiles on both sides along the length=13x2=26
Similarly breadth after deducting the 2tiles of 2meter each =10-2-2=6m
No of 2metre tiles on 6metres =6/2 = 3
for both sides= 3*2=6
No of grey tiles along the sides = 26+6+4common tiles
=36
Balance no of tiles= no of white + no of pink tiles
=75-36= 39
Ratio of white tiles to pink tiles= 2:1
No of white tiles= 39x2/3 = 26
No of pink tiles = 39x1/3=13.