Advertisements
Advertisements
Question
The cost of flooring a hall of ₹64 per square meter is ₹2,048. If the breadth of the hall is 5m, find:
(i) its length.
(ii) its perimeter.
(iii) cost of fixing a border of very small width along its boundary at the rate of ₹60 per square meter.
Advertisements
Solution
∵ Total cost of flooring the room = ₹ 2048
and, cost of flooring per square meter = ₹ 64
∴ Area of the room = `"Total cost of flooring"/"cost of flooring per square meter"`
`= 2048/64` m2 = 32 m2
(i) ∵ length × breadth = area
⇒ length × 5 m = 32 m2
⇒ length = `(32 "m"^2)/"5 m"` = 6.4 m
(ii) Perimeter = 2 × (length + breadth)
= 2 × (6.4 m + 5 m)
= 2 × 11.4 m
= 22.8 m
(iii) Cost of fixing a border at the rate of ₹ 60 per m2 = Perimeter × Rate of fixing per meter
= 22.8 × 60
= ₹ 1,368
APPEARS IN
RELATED QUESTIONS
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
Find the perimeter of a rectangle whose:
length = 3.6 m and breadth = 2.4 m
The length of a rectangle is twice of its breadth. If its perimeter is 60 cm, find its length.
Find the perimeter of a regular hexagon of side 6.5 cm.
Each side of a square is 45 cm and a rectangle has length 50 cm. If the perimeters of both (square and rectangle) are same, find the breadth of the rectangle.
Each side of a square tile is 60 cm. How many tiles will be required to cover the floor of a hall with length = 50 m and breadth = 36 m.
The length of a rectangular plot of land is 50 m and its width is 30 m. A triple fence has to be put along its edges. If the wire costs 60 rupees per metre, what will be the total cost of the wire needed for the fence?
Each rectangle is made out of 12 equal squares, so all have the same area, but the length of the boundary will be different.
Which of these rectangles has the longest perimeter?
There is a rectangular lawn 10 m long and 4 m wide in front of Meena’s house (see the figure). It is fenced along the two smaller sides and one longer side leaving a gap of 1 m for the entrance. Find the length of fencing.
A rectangular path of 60 m length and 3 m width is covered by square tiles of side 25 cm. How many tiles will there be in one row along its width? How many such rows will be there? Find the number of tiles used to make this path?
