heya solve these two...
Answers
1)Solution:-
Length = 22 m and Breadth = 15.5 m
The area of the hall = L × B = 22 × 15.5 = 341 m²
Margin of carpet = 75 cm = 0.75 m
Area of carpet = (22 - 2 × 0.75) (15.5 - 2 × 0.75)
⇒ (22 - 1.5) (15.5 - 1.5)
Area of the carpet = 20.5 × 14 = 287 m²
Portion uncovered = 341 - 287 = 54 m²
A meter length of the carpet = 1 m × 0.82 m = 0.82 m²
287/0.82 = 350 m of carpet
Cost of fencing the strip = Rs.60 per meter
Cost of fencing the strip = 350 × 60
= Rs. 21000
2) Solution:
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Shivanshuawasthi
Mar 10, 2015
The square lawn is surrounded by a path 2.5m wide. If the area of the path is 165 Sq., find the area of lawn.
The square lawn is surrounded by a path 2.5m wide. If the area of the path is 165 Sq., find the area of lawn.
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Raghunath Reddy
Consider the side of the lawn be x
Given width of the path = 2.5m
Side of the lawn including path = x + 2(2.5m) = x + 5m
So, area of lawn = (Area of the lawn including the path) - (Area of the path)
Area of a square = (side)2
Therefore, we say :
x2 = (x + 5)2 – 165 m2
x2 = (x2 + 10x +25) - 165m2
x2 = x2+ 10x + 25 - 165
x2 = x2 + 10x - 140
x2 - 140 = x2 - 10x
x2 - x2 - 140 = -10x
-140 = -10x
i.e 140 = 10x
Therefore x = 140/10 = 14
Since the side of the lawn = 14 m
The area of the lawn = (14)2 or 196 m2.
THANKS ☺☺
It's a square so, the length of path inside would be equal to that of square's
So, ar of of path = ar of big square -ar of small square
Side of big square = x(let)
Side of small square = x-4-4=x-8
So, 165=x²-(x-8)²
165=x²-(x²+64-16x)
165=x²-x²-64+16x
165+64/16=x²
x=13
Now side of small square = 13-8=5
So area of small square i. e. Lawn =16²=256m²