Advertisements
Advertisements
प्रश्न
The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall,
(i) without leaving any margin.
(ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile
Advertisements
उत्तर
(i)
Length of hall (l) = 18 m and breadth (b) = 13.5 m
∴ Area of the floor = l × b
=`18 xx 13.5 "m"^2 = 243.0 "m"^2`
Side of each square tiles (a) = 25 cm
= `25/100 = 1/4`m
∴ Area of one tile = a2 = `1/4 xx 1/4`
= `1/16 "m"^2`
No. of tiles required = `243 + 1/16`
= `(243 xx 16)/1 = 3888`
Rate of tiles = Rs. 6 per tile
∴ Total cost = Rs. 3888 × 6
= Rs. 23328
(ii)
Width of margin left in side = 1.5 m
∴ Inner length = `18 - 2 xx 1.5 = 18 - 3 = 15` m
and breath = `13.5 - 2 xx 1.5 = 13.5 - 3`
= 10.5 m
∴ Inner area = `15 xx 10.5 "m"^2`
= 157.5 m2
∴ No. of tiles = 157.5 + `1/16`
= `157.5 xx 16 = 2520`
∴ Cost of tiles = 2520 × 6 = Rs. 15120
APPEARS IN
संबंधित प्रश्न
The diagonal of a square is 15 m; find the length of its one side and perimeter.
A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.
A wire, when bent in the form of a square encloses an area of 484 cm2. Find :
(i) one side of the square ;
(ii) length of the wire ;
(iii) the largest area enclosed; if the same wire is bent to form a circle.
Measure the side of the red square on the dotted sheet. Draw here as many rectangles as possible using 12 such squares.
How many rectangles could you make?
Parmindar walks around a square park once and covers 800 m. What will be the area of this park?
Find the side of the square whose perimeter is 20 m.
If each side of a rhombus is doubled, how much will its area increase?
In the following figure, area of (i) is the same as the area of (ii).
 |
 |
| (i) | (ii) |
In the following figure, perimeter of (ii) is the same as (i).
|
|
| (i) | (ii) |
Three squares are attached to each other as shown in the following figure. Each square is attached at the mid-point of the side of the square to its right. Find the perimeter of the complete figure.
