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As shown in figure, a rectangular garden has
jogging track of width 30 meters. The length of
garden is 46 meters and breadth is 34 meters.
If there is a wire compound on both sides of
the track. Find the total length of wire compound.
1) 160 meters 2) 136 meters
3) 200 meters 4) 296 meters
Answers
Given : a rectangular garden has jogging track of width 30 meters. The length of garden is 46 meters and breadth is 34 meters.
To find : total length of wire compound.
Solution:
Inner Dimensions :
Length = 46 m
Breadth = 34 m
Outer Dimensions
Length = 46+ 30 + 30
= 106 m
Breadth = 34 + 30 + 30
= 94 m
Total perimeter = 2(34 + 46) + 2(106 + 94)
= 2(80) + 2(200)
= 160 + 400
Total perimeter = 560 m
total length of wire compound. = 560 m
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The correct question is,
As shown in figure, a rectangular garden has jogging track of width 3 meters. The length of garden is 46 meters and breadth is 34 meters.
Consider the attached figure while going through the following steps.
If we take width of jogging track to be 30 meters, then the calculation won't be possible.
The length of wire compound can be found using the formula of perimeter of a rectangle.
Perimeter of a rectangle, P = 2 ( l + w )
where, l = length of the rectangle
w = width of the rectangle
= 2 ( 46 + 34) + 2 [ (46 - 3 - 3) + (34 - 3 - 3) ]
= 2 (80) + 2 [ 40 + 28 ]
= 160 + 2 (68)
= 160 + 136
= 296 meters
Option 4 is correct.
