A rectangular lwan is 30 m by 20 it has two roads each 2m wide running in the middle of it ,one parallel to the length and the parallel to the breadth. find the area of the road
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ashishtripathi39:
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Answer:
The answer is 96 square meters.
Step-by-step explanation:
First we need to find the area of the road parallel to the breadth:
It's length=20 m
It's breadth/width=2 m
It's area=2 m x 20 m = 40 square meters
Then we find the area of the road parallel to the length:
It's length=30 m
It's breadth/width=2 m
It's area=30 m x 2 m= 60 square meters
Since the two roads overlap in the middle, we must find and subtract the area of intersection, otherwise it will have been counted twice. The dimensions of the intersection will be the widths of the respective pathways.
Length of intersection=2 m
Breadth/Width of intersection=2 m
Area of intersection=2 m x 2 m= 4 square meters
So,
Area of the road= 100 square meters-4 square meters=96 square meters
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