A verandah 1.25 m wide is constructed all along the outside of a room 5.5 m long and 4 m wide. Find the cost of cementing the floor of this verandah at the rate of 15 per square m
Answers
the diagram will be like one rectangle inside another rectangle
base area of room will be= 5.5*4
= 22.0 m^2
area of verandah including base area of room= 5.5+2(1.25) * 4+2(1.25)
= 2.5(5.5+4)
= 2.5 (9.5)
= 23.75 m^2
( we are adding 2(1.25) to length and breadth of room because verandah will have1.25 m on both sides )
area of verandah floor = 23.75-22.0
= 1.75 m^2
given cost for per square m = 15 rs
cost for 1.75 m^2= 15*1.75
=26.25 rs
Given that,
Area of the room is 4×5.5=22m²
Area of the verandah with room is =(5.5+1.25+1.25)×(4+1.25+1.25)
8×6.5=52
Area of verandah 52−22
=30m²
Cost of cementing =15rps
Total cost of cementing =30×15
=450rps
Thus,
We get total cost of cementing 450rps.