Question

a rectangular plot is 90m long and 60m wide. two roads of 1m each are running parallel to width of the plot and one road of 1m is running parallel to the lenght of the plot. find the area covered by road.​

Answer 1

$\mathfrak{Answer}$

149 metres

$\mathfrak{Explanation}$

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

Answer 2

Answer:

149 metres

\mathfrak{Explanation}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