Question

How many square tiles of side 40 cm are needed for a path of length 32 m and breath 20m​

Answer 1

Answer:

: In this question, we will use the area of rectangle and square formula i.e., [Math Processing Error], where [Math Processing Error] is the length and [Math Processing Error] is the breadth of the rectangle is the area of rectangle and [Math Processing Error] is the area of square where [Math Processing Error] is the side of the square, and first we will find the area of footpath by subtracting the area of outer fence from area of the rectangular plot, and finally we divide the area of footpath by the area of square to find the number of tiles.

Step-by-step explanation:

Given dimensions of the rectangular plot are 80m and 40m, i.e, length will be 80m and breadth will be 40m, and the footpath is 2m wide.

Now we have to find a number of square tiles of length 40cm that will be required by the footpath.

Now we will find the area of the rectangular path by using area of rectangle i.e., [Math Processing Error], where [Math Processing Error] is the length and [Math Processing Error] is the breadth of the rectangle,

So, here [Math Processing Error],

Now by substituting the values we get,

[Math Processing Error]Area of rectangular plot[Math Processing Error],

[Math Processing Error]Area of rectangular plot[Math Processing Error],

Now width of the footpath = 2m,

Now length of the outer rectangle will be [Math Processing Error], and breadth of the outer rectangle will be [Math Processing Error],

Now area of outer rectangle = [Math Processing Error],

[Math Processing Error]Area of outer rectangular plot[Math Processing Error],

Now area of footpath = Area of outer rectangular plot[Math Processing Error]area of inner rectangular plot i.e.,

[Math Processing Error]Area of footpath = [Math Processing Error] ,

[Math Processing Error]Area of footpath[Math Processing Error],

Now we will find the area of square by using area of square formula i.e., [Math Processing Error], where [Math Processing Error] is the side of the square,

Now here side of the square= a = 40cm,

[Math Processing Error]Area of square =[Math Processing Error],

[Math Processing Error]Area of square[Math Processing Error],

Now converting [Math Processing Error]to [Math Processing Error],we know that [Math Processing Error],we get ,

[Math Processing Error]Area of square[Math Processing Error]

[Math Processing Error]Area of square[Math Processing Error],

[Math Processing Error]Area of square[Math Processing Error],

[Math Processing Error]Area of square[Math Processing Error],

Now we have find the number of tiles required to pave a footpath which is 2 m wide, i.e.,

[Math Processing Error] Number of titles[Math Processing Error],

Now we have the values so substituting the values we get,

[Math Processing Error]Number of titles[Math Processing Error]

[Math Processing Error]Number of tiles[Math Processing Error],

[Math Processing Error]Number of tiles[Math Processing Error].

[Math Processing Error] The number of square tiles of side 40 cm required to pave a footpath which is 2 m wide and surrounds a rectangular plot 80m by 44m are 3200.

Note:

We can also solve the question by finding the number of tiles that can paved in total and the number of tiles can be paved in the rectangular plot,

[Math Processing Error]Total number of titles [Math Processing Error],

[Math Processing Error]Total number of tiles [Math Processing Error]

[Math Processing Error]Total number of tiles [Math Processing Error],

[Math Processing Error]Number of tiles can be paved in plot [Math Processing Error],

[Math Processing Error]Number of tiles can be paved in plot [Math Processing Error],

[Math Processing Error]Number of tiles can be paved in plot [Math Processing Error],

[Math Processing Error]Now number of tiles = total number of tiles [Math Processing Error] number of tiles paved in plot

[Math Processing Error]Required number of tiles [Math Processing Error]

[Math Processing Error]Required number of tiles [Math Processing Error].

Answer 2

Answer is 4000

Step-by-step explanation:

Length of path=32 m=3200 cm

Breadth of path=20 m

Area of path=(Length×Breadth) sq.unit

=3200×2000sq.m

Length of each square tile=40 cm

Area of each square tile=40×40sq.cm

Number of tiles needed to pave the path=

3200×2000/40×40

=3200×5/4

=800×5

=4000

Ans:-Number of tiles needed is 4000