Table of Contents – How Many Tiles of 20cm2 will be Required?
- How many tiles of 20cm2 will be required?
- To have a footpath 1m wide.
- Carried around the outside of grassy plot 24m long and 14m broad.
- The required number of tiles can be figure out and has figured out in the solution below.
Note: This question was asked in Competitive Examination (CSS) – 2021 General Science & Ability Q6 (B).
Important Points To Solve The Problem
Following things are needed to discuss here.
- Area required to be paved.
- Area of tile.
- Number of tiles.
Following things are given.
- Size of a tile (20cm2).
- Dimension of grassy plot (24m long and 14m broad).
- Extension in footpath (1m wide).
First, we will calculate the area (in centimeters) required to be paved and then dividing it with the area of a tile (20cm2) we can easily figure out the total number of tiles.
To Find
Number of tiles = ?
Solution
First Method
It is clear from the picture that we have four rectangles whose area in square centimeter is required to calculate.
Case I
Area of first rectangle = 26m x 1m
Area of first rectangle = 26m2
Area of first rectangle in square centimeters = (26 x 100 x 100) cm2
Area of first rectangle in square centimeters = 260000 cm2
Case II
Area of second rectangle = 26m x 1m
Area of second rectangle = 26m2
Area of second rectangle in square centimeters = (26 x 100 x 100) cm2
Area of second rectangle in square centimeters = 260000 cm2
Case III
Area of third rectangle = 14m x 1m
Area of third rectangle = 14m2
Area of third rectangle in square centimeters = (14 x 100 x 100) cm2
Area of third rectangle in square centimeters = 140000 cm2
Case IV
Area of fourth rectangle = 14m x 1m
Area of fourth rectangle = 14m2
Area of fourth rectangle in square centimeters = (14 x 100 x 100) cm2
Area of fourth rectangle in square centimeters = 140000 cm2
Now;
Total area = (260000 + 260000 + 140000 + 140000) cm2
Total area = 800000 cm2
Size of a tile = 20 cm2
Area of one tile = 20cm x 20cm = 400 cm2
Number of tiles = 800000/400
Number of tiles = 2000 answer
Second Method
Total area of grassy plot including footpath = 26 x 16
Total area of grassy plot including footpath = 416 m2
Area of grassy plot excluding footpath = 24 x 14
Area of grassy plot excluding footpath = 336 m2
Area of footpath = 416 – 336
Area of footpath = 80 m2
Area of footpath in centimeters = (80 x 100 x 100) cm2
Area of footpath in centimeters = 800000 cm2
Size of a tile = 20 cm2
Area of one tile = 20cm x 20cm = 400 cm2
Number of tiles = 800000/400
Number of tiles = 2000 answer
Conclusion
40000 tiles of 20cm2 will be required to have a footpath 1m wide carried around the outside of grassy plot 24m long and 14m broad.
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i think you have done mistake. it’s not size of tile dividing the area of footpath. it should be area of tile (20*20=400) dividing the area of foot path. it should not be 800000/20 rather it should be 800000/400=2000. So here answer should be 2000 tites are required to cover the area of footpath which is 80meters square or 800000cm square.
Thanks for bringing this into our notice. It has been fixed. Grateful