Answer
Verified
378k+ views
Hint: In this problem, the number of required tiles will be the area of the rectangular region by the area of tiles. Thus find the area of the rectangular region and tiles separately. Then divide them to get the number of tiles that will fit in a rectangular region. Then, We have to convert the units (meter to cm). we know that \[1m = 100cm\]
Complete step-by-step answer:
In order to determine the number of tiles it will be required to cover a wall of size \[3m \times 4m\] and also, find the total cost of the tiles at the rate of $2$ per tiles.
We are given marble tiles measuring \[10cm \times 12cm\] .
Total area of marble tiles:
Let the area of marble tiles =Length × Breadth
We know that,
Length= \[10cm\]
Breadth= \[12cm\]
So, the area of marble tiles =Length × Breadth \[ = 10cm \times 12cm = 120c{m^2}\]
Diagram for represent the marble tiles with the measurement:
Therefore, We got the total area of marble tiles is \[120c{m^2}\] --------- (1)
Now, we have to find the total cost of the tiles at the rate of $2$ per tiles.
The total area of wall:
Let the area of wall = Length × Breadth
We know that, \[1meter = 100cm\]
So,
Length \[ = 3m = 300cm\]
Breadth \[ = 4m = 400cm\]
Diagram for represent the area of wall with the measurement:
Now, the area of wall = Length × Breadth \[ = 300 \times 400 = 120000\]
Therefore, we found the total area of wall = \[120000c{m^2}\] -------- (2)
Diagram for represent the wall:
We use the formula for finding the required number of tiles,
Number of tiles required \[ = \dfrac{{Total{\text{ }}area{\text{ }}of{\text{ }}wall}}{{Total{\text{ }}area{\text{ }}of{\text{ }}marble{\text{ }}tile}}\] ------ (3)
By substituting all the value of equation (1) and (2) in the above formula, then
Number of tiles required= \[\dfrac{{120000}}{{120}}\] = \[1000\]
We know that, The cost of the per tiles = \[2\] Rs
So, The total cost of the tiles at the rate of \[2\] per tiles = Number of tiles required× \[2\] \[ = 1000 \times 2 = 2000Rs.\]
Therefore, Total cost of tiles= \[2000\] Rs
Hence, the total cost of the tiles at the rate of $2$per tiles is \[ = 1000 \times 2 = 2000Rs.\]
Note: Area of rectangle is the region covered by the rectangle in a two-dimensional plane.
Area of rectangular=Length× Breadth
Draw a figure, so that you might understand the question better. These are some basic applications of rectangles.
Convert Meter to cm because marble tiles given in cm or wall size given in meter. Both are not the same unit.
Complete step-by-step answer:
In order to determine the number of tiles it will be required to cover a wall of size \[3m \times 4m\] and also, find the total cost of the tiles at the rate of $2$ per tiles.
We are given marble tiles measuring \[10cm \times 12cm\] .
Total area of marble tiles:
Let the area of marble tiles =Length × Breadth
We know that,
Length= \[10cm\]
Breadth= \[12cm\]
So, the area of marble tiles =Length × Breadth \[ = 10cm \times 12cm = 120c{m^2}\]
Diagram for represent the marble tiles with the measurement:
Therefore, We got the total area of marble tiles is \[120c{m^2}\] --------- (1)
Now, we have to find the total cost of the tiles at the rate of $2$ per tiles.
The total area of wall:
Let the area of wall = Length × Breadth
We know that, \[1meter = 100cm\]
So,
Length \[ = 3m = 300cm\]
Breadth \[ = 4m = 400cm\]
Diagram for represent the area of wall with the measurement:
Now, the area of wall = Length × Breadth \[ = 300 \times 400 = 120000\]
Therefore, we found the total area of wall = \[120000c{m^2}\] -------- (2)
Diagram for represent the wall:
We use the formula for finding the required number of tiles,
Number of tiles required \[ = \dfrac{{Total{\text{ }}area{\text{ }}of{\text{ }}wall}}{{Total{\text{ }}area{\text{ }}of{\text{ }}marble{\text{ }}tile}}\] ------ (3)
By substituting all the value of equation (1) and (2) in the above formula, then
Number of tiles required= \[\dfrac{{120000}}{{120}}\] = \[1000\]
We know that, The cost of the per tiles = \[2\] Rs
So, The total cost of the tiles at the rate of \[2\] per tiles = Number of tiles required× \[2\] \[ = 1000 \times 2 = 2000Rs.\]
Therefore, Total cost of tiles= \[2000\] Rs
Hence, the total cost of the tiles at the rate of $2$per tiles is \[ = 1000 \times 2 = 2000Rs.\]
Note: Area of rectangle is the region covered by the rectangle in a two-dimensional plane.
Area of rectangular=Length× Breadth
Draw a figure, so that you might understand the question better. These are some basic applications of rectangles.
Convert Meter to cm because marble tiles given in cm or wall size given in meter. Both are not the same unit.
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
Which are the Top 10 Largest Countries of the World?
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
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE