SOLUTION: the length of a hall is 18 meter and its width is 13.5 meter, find the least no. of square tiles,each of side 25 cm , required to cover the floor of the hall leaving a margin of wi

Question 1013051: the length of a hall is 18 meter and its width is 13.5 meter, find the least no. of square tiles,each of side 25 cm , required to cover the floor of the hall leaving a margin of width 1.5 meter all around.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i'll convert everything to centimeters so we can be dealing with the same measures all around.

1 meter is equal to 100 centimeters, so:

length = 18 meters * 100 = 1800 centimeters.
width = 13.5 meters * 100 = 1350 centimeters.

you want to make a border around this that is 1.5 meters wide.
1.5 meters * 100 is equal to 150 centimeters.

yout total length needs to be reduced by 2 * 150 = 300 centimeters.
your total width needs to be reduced by 2 * 150 = 300 centimeters.

1800 - 300 = 1500 centimeters.
1350 - 300 = 1050 centimeters.

the total area that you need to cover is 1500 * 1050 = 1575000 square centimeters.

your tiles each have a side of 25 centimeters.

you will need 1500/25 tiles to cover the length.
you will need 1050/25 tiles to cover the width.
you will then need to multiply the number of tiles required for the length times the number of tiles required for the width to get the total number of tiles required.

1500/25 = 60
1050/25 = 42

the number of tiles required is 60 * 42 = 2520.

since the area of each tile is 25 * 25 = 625 square centimeters, then 2520 * 625 = 1575000.

this is exactly the same as the whole tiled area so your calculations are good.

RELATED QUESTIONS
the length and breadth of a rectangular floor are 3.6 meter and 2.4 meter. how many... (answered by solver91311)

Please help! This problem makes no sense to me!! The length of a rectangle is 4 meters (answered by solver91311)

what is the area of a square plot with side 8 meter ? if it is tiled with square tiles... (answered by mananth)

A hall is 20m long and 18 m broad . A carpet is to be laid to this hall leaving a margin (answered by Theo)

Area of rectangle is 217800 square meter,its length twice of width,find the... (answered by ikleyn)

the area of a rectangle is 200 square meters. The length of the garden is 1 meter times... (answered by ewatrrr)

the area of a right triangle is 210 square meter and its perimeter is 70 cm. Find the... (answered by ankor@dixie-net.com)

AREA OF A RECTANGLE IS 10580 square meter,its length is 5 times of width, find its... (answered by ikleyn)

a rectangle is 5 meter longer than what its width is. if the perimeter of the triangle is (answered by ikleyn)