a rectangular plot is 90 cm long and 60 cm wide. two roads. of 1 m each are running parallel to width of the plot and one road of 1 m is running parallel to the length of the plot. find the area covered by road
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Answer:
149
Step-by-step explanation:
Length of the plot = 90 metres
Width of the plot = 60 metres
Area = length×width
= 90×60
= 5400 metres
Width of the road parallel to the length = 1 metre
Length of the road parallel to length = 90 metres
Area of the road = length×width
= 90×1
= 90 metres
Width of the road parallel to the breadth = 1 metre
Length of the road parallel to the breadth = 60 m
Area of the road = length×width
= 60×1
= 60 metres
The roads intersect in the middle
Area of the common part of the roads = 1×1 = 1 metre
Area of the roads = 90 + 60 - 1 metre
= 150 - 1 metre
= 149 metres
∴ Area of the roads= 149 metres
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