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.

Answer 1

∵ 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