The cost of carpeting a big hall of length 18m is rs 2160. I f the breadth of the floor would be 4m less, then the cost would have been rs 1620. Calculate perimeter and area of the hall.
Answers
Step-by-step explanation:
L - 18m , B - ?
Area - L * B - 18B
New length - 18m , New breadth - B 4m
New area - 18 (B - 4)
Let the rate be X per sqm
Now, 18B * X - 1260
18 (B - 4) * X - 1620
Dividing two equations,
18BX
_________ = 2160
18 (B - 4) X ___
1620
1620B = 2160 (B - 4)
B = 16m
Perimeter = 2 (L + B) = 68m
Area = L × B = 16 × 18m2 = 288m2.
I hope it is helpful to you.
Given : The length of a room is 18 m and to cover the floor of the room by carpet rupees 2160 is required.
Had the breadth been 4 m less the cost of covering with carpet would have been rupees 1620.
To Find: the area of the floor of the room.
Solution:
Length = 18 m
Breadth = x m
cost of carpet per sq m = y
Hence Total cost = 18xy = 2160
=> xy = 120
New breadth = x - 4 m
New cost = 18(x - 4)y = 1620
=> xy - 4y = 90
=> 120 - 4y = 90
=> 4y = 30
=> y = 15/2
xy = 120
=> x (15/2) = 120
=> x = 16
Area of the floor = 18x
= 18(16)2
=288 m²
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