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Maths equations doubt cpt

CPT 981 views 4 replies
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Area of a rectangular garden is 8000 sqr mtrs . Ratio in mlength and breadth is 5:4 . A path of uniform widtth runs all around the inside of the garden. If the path occupies 3200 sqr mtrs occupies, what is its widtth? A. 12m B.6m C. 10m D. 4m please do texplain the method also... thanks
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On 06 June 2012 at 17:00 Report
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32 Points Posted on 06 June 2012

 

Let a be the length and b be the breadth of the garden
 
Given area = 8000 sq mtr
=> a*b=8000
 
Also, given a:b = 5:4
=> 4a = 5b
 
From the above
a=100 b=80
 
 
 
Now, the path occupies 3200 sq mtrs
Let widtth of the path be c
 
=> (2a + 2b)*c - 4c*c = 3200
 
=>360C - 4c*c = 3200
 
so, c = 10
 
 
(I think there might be an easier way of solving)
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On 06 June 2012 at 18:03
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Thanks a lot... but I understood the sum in an easier manner while trying to understand yours. Thank you
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On 06 June 2012 at 20:36
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no
1460 Points Posted on 06 June 2012

we have clarify the above problem following way ::

as xy = 3200 therefore we assume,

40*80 = 3200 ( x = 40,y = 80)

again, 5x*4y = 8000

20xy = 8000

xy = 400

as x =40 m .

therefore, 40y = 400

                    y = 10m

4 Reply
On 06 June 2012 at 21:25
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2 Points Posted on 02 August 2018
Can you explain me how do we get (2a+2b)*c-4c*c=3200
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On 02 August 2018 at 13:06


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