SOLUTION: The tennis court in the college is rectangular in shape of size n*m metres. We need to pave the court with square stones. The square stone is of size a*a.
What is the least nu
Algebra.Com
Question 967782: The tennis court in the college is rectangular in shape of size n*m metres. We need to pave the court with square stones. The square stone is of size a*a.
What is the least number of stones needed to pave the tennis court? It's allowed to cover the surface larger than the Tennis Court, but the court has to be covered. It's not allowed to break the stones. The sides of stones should be parallel to the sides of the court.
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
How many stones of area will fit in the area of ?
What is ? In case the ratio is nonwhole, Round upward to the nearest whole number.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i would think r(n/a) * r(m/a) would cover the court with the minimum number of tiles.
r is a function that rounds n/a up to the next highest integer.
for example:
assume the court is 5 by 7.
small numbers, but easier to analyze.
suppose the squares are 2 by 2.
5/2 = 2.5 which would be rounded up to 3.
7/2 = 3.5 which would be rounded up to 4.
total squares required would be 3 * 4 = 12.
i don't think you could get away with less than that since you have to cover both the length and the width.
here's a picture of what i mean.
RELATED QUESTIONS
A tennis court is 36 feet wide. Its length is 6 feet more than twice the width. What is... (answered by ewatrrr)
A tennis court is 36 feet wide. Its length is 6 feet more than twice the width. What is... (answered by ewatrrr)
A tennis court is 36 feet wide. Its length is 6 feet more than twice the width. What is... (answered by ewatrrr)
A tennis court in the shape of a rectangle has an area of 7200 square feet. One pair of... (answered by rfer)
A tennis court is shaped like a rectangle with a width of x+1 and a length of 3x feet.... (answered by Boreal)
A tennis ball travels the length of a tennis court, 24 m, in 0.3 s. What is the average... (answered by Alan3354)
A regulation double tennis court has an area of 2808 square feet. If it is 6 feet longer... (answered by checkley77)
Theatre Square in the capital city of Berland has a rectangular shape with the size... (answered by TimothyLamb)
The area of a tennis court is 2808 ft 2, or 8 square feet more than 3.5 times the size... (answered by stanbon)