Answer
Verified
377.1k+ views
Hint: In a given problem it is clearly mentioned that the tiles are in the shape of rectangle so we can solve the given problem by using the formula of area of rectangle and is given by \[{{Area = length \times breadth}}\] .once the area is obtained then we can find the cost of the tiles.
Complete step-by-step answer:
Given: dimensions of rectangular tiles are
Length \[ = 10cm\]
Breadth \[ = 7cm\]
Therefore, the area of rectangular tiles \[{{ = length \times breadth}}\]
\[ = 10 \times 7\]
the area of rectangular tiles \[ = 70c{m^2}\]
Dimensions of the floor are
Length \[ = 14m\]
Breadth \[ = 12\dfrac{1}{2}m = \dfrac{{25}}{2}m\]
Since the length of tiles is given in terms of centimeters but the length and breadth of the floor is given in terms of meters so we have to convert the length and breadth of the floor from meters to centimeters by multiplying it with 100 then the new length and breadth of the floor is given by
Length \[ = 14 \times 100 = 1400cm\]
Breadth \[ = \dfrac{{25}}{2} \times 100m = 1250cm\]
Therefore, the area of rectangular floor \[{{ = length \times breadth}}\]
\[ = 1400 \times 1250\]
the area of rectangular floor \[ = 1750000c{m^2}\]
Therefore, the total number of tiles required \[ = \dfrac{{area{\text{ }}of{\text{ }}floor}}{{area{\text{ }}of{\text{ }}tile}}\]
Substituting the area calculated above we get,
the total number of tiles required \[ = \dfrac{{1750000}}{{70}}\]
on simplification, the total number of tiles required \[ = 25000\]
now cost can be calculated as \[{{cost = tiles \times rate}}\]
\[ = 25000 \times \dfrac{5}{{100}}\]
cost \[ = 1250\] Rs
Note: After calculating the area of rectangle the unit for area depends on the units of dimensions given for example in the above problem both length and breadth are given in terms of centimeters so unit for area should be taken as \[c{m^2}\] .if the length and breadth is given in terms of meter then unit for area should be taken as \[{m^2}\] .
Complete step-by-step answer:
Given: dimensions of rectangular tiles are
Length \[ = 10cm\]
Breadth \[ = 7cm\]
Therefore, the area of rectangular tiles \[{{ = length \times breadth}}\]
\[ = 10 \times 7\]
the area of rectangular tiles \[ = 70c{m^2}\]
Dimensions of the floor are
Length \[ = 14m\]
Breadth \[ = 12\dfrac{1}{2}m = \dfrac{{25}}{2}m\]
Since the length of tiles is given in terms of centimeters but the length and breadth of the floor is given in terms of meters so we have to convert the length and breadth of the floor from meters to centimeters by multiplying it with 100 then the new length and breadth of the floor is given by
Length \[ = 14 \times 100 = 1400cm\]
Breadth \[ = \dfrac{{25}}{2} \times 100m = 1250cm\]
Therefore, the area of rectangular floor \[{{ = length \times breadth}}\]
\[ = 1400 \times 1250\]
the area of rectangular floor \[ = 1750000c{m^2}\]
Therefore, the total number of tiles required \[ = \dfrac{{area{\text{ }}of{\text{ }}floor}}{{area{\text{ }}of{\text{ }}tile}}\]
Substituting the area calculated above we get,
the total number of tiles required \[ = \dfrac{{1750000}}{{70}}\]
on simplification, the total number of tiles required \[ = 25000\]
now cost can be calculated as \[{{cost = tiles \times rate}}\]
\[ = 25000 \times \dfrac{5}{{100}}\]
cost \[ = 1250\] Rs
Note: After calculating the area of rectangle the unit for area depends on the units of dimensions given for example in the above problem both length and breadth are given in terms of centimeters so unit for area should be taken as \[c{m^2}\] .if the length and breadth is given in terms of meter then unit for area should be taken as \[{m^2}\] .
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE