Answer
Verified
480.9k+ views
Hint: The garden of given dimensions forms a rectangle of length 24m and breadth 14m. The 1 meter wide path to the exterior of the garden will eventually increase its length and breadth by 2m, 1m at top and 1 m at bottom in case of breadth, 1m more at left and 1 m more at right in case of length. It will be clearer after the pictorial representation of the dimensions.
Now the given dimension of garden is $24m \times 14m$.That is length = 24m and breadth = 14m
As we know that the area of rectangle is given as ${\text{length }} \times {\text{ breadth}}$………………… (1)
Substituting the values in equation (1) we get
Area of garden = $24 \times 14 = 336{\text{ }}{{\text{m}}^2}$…………………………. (2)
Now as discussed above and by the diagram it is clear that this 1m wide path to the exterior of the garden contributes in addition to 2m in length and 2m in breadth of the original garden.
So dimensions of the garden including the path is $\left( {24 + 2,14 + 2} \right) = 26{\text{m}} \times 16m$. Its length is 26m and its breath is 14m.
Substituting the values in equation (1) we get
Area of garden including the path = $26 \times 16 = 416{{\text{m}}^2}$……………………. (3)
Now clearly Area of path = Area of garden with path – Area of garden
So using equation (2) and equation (3) we get
Area of path = $416 - 336 = 80{\text{ }}{{\text{m}}^2}$= $80 \times {10^4}{\text{ c}}{{\text{m}}^2}$ as (1m=100 cm so 1${m^2} = 10000c{m^2}$)………………. (4)
Now this path is to be constructed with tiles of dimensions $20{\text{cm}} \times {\text{20cm}}$. Side = 20 cm
Now by observation of the dimensions of tile it is clear that tile is a square, thus area of square is ${\left( {side} \right)^2}$………………….. (5)
Substituting the value in equation (5) we get
Area of tile = ${\left( {20} \right)^2} = 400{\text{ c}}{{\text{m}}^2}$………………………….. (6)
Now the total number of tiles required for pavement of the entire 1m wide path will be $\dfrac{{{\text{Area of path}}}}{{{\text{Area of tile}}}}$………………………… (7)
Putting values in equation (7) from equation (4) and equation (6) we get
Number of tiles = $\dfrac{{8,00,000}}{{400}} = 2000$
So in total 2000 tiles are required for pavement of the entire 1m wide path around the garden.
Hence the correct option is C.
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