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Maths equations doubt cpt
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
Replies (4)
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)
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
Can you explain me how do we get (2a+2b)*c-4c*c=3200
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