Advertisements
Advertisements
Question
The length and the breadth of a conference hall are in the ratio 7: 4 and its perimeter is 110 m. Find:
(i) area of the floor of the hall.
(ii) a number of tiles, each a rectangle of size 25 cm x 20 cm, required for the flooring of the hall.
(iii) the cost of the tiles at the rate of ₹ 1,400 per hundred tiles.
Advertisements
Solution
Ratio in length and breadth = 7 : 4
Perimeter = 110 m
∴ Length + Breadth = `110/2 = 55` m
Sum of ratios = 7 + 4 = 11
∴ Length = `(55 xx 7)/11 = 35` m
and breath = `(55 xx 4)/11 = 20` m
(i)
Area of floor = l × b
= `35 xx 20 = 700 "m"^2`
(ii)
Size of tile = 25 cm × 20 cm
= `(25 xx 20)/(100 xx 100)`
= `1/20 "m"^2`
∴ Number of tiles
= `"Area of floor"/"Area of one tile"`
= `(700 xx 20)/1 = 14000`
(iii)
Cost of tiles = ₹ 1400 per 100 tiles
∴ Total cost = `(14000 xx 1400)/100`
= ₹ 196000
APPEARS IN
RELATED QUESTIONS
A school playground is rectangular in shape with length = 120 m and breadth = 90 m. Some school boys run along the boundary of the play-ground and make 15 complete rounds in 45 minutes. How much distance they run during this period.
Mohit makes 8 full rounds of a rectangular field with length = 120 m and breadth = 75 m.
John makes 10 full rounds of a square field with each side 100 in. Find who covers larger distance and by how much?
A regular pentagon of each side 12 cm has same perimeter as that of a regular hexagon. Find the length of each side of the hexagon.
The side of a square is 3.6 cm; find its perimeter.
The perimeter of a square is 60 m, find:
(i) its each side its area
(ii) its new area obtained on increasing
(iii) each of its sides by 2 m.
If the length of a rectangle is 20 m and its width is 12 m, what is its perimeter?
Sanju completes 12 rounds around a square park every day. If one side of the park is 120 m, find out in kilometres and metres the distance that Sanju covers daily.
Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?
How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.
The perimeter of a rectangle is 60 m. What is the sum of its length and breadth?
