Question

rectangular plot of land measures 60metre by 55metre from the centre of each side,a path 2 metres wide goes across to the centre of the opposite side find the area of the path​

Answer 1

Answer:

Given that the paths are 2m on each side and goes across to the center of the opposite side. So, basically we have on one side a rectangle of length 60m and breadth 2m whose area is A

1

=60×2=120m

2

and on another side a rectangle of length 59m and breadth 2m whose area is A

2

=55×2=110m

2

One important note, the area of the central part has been included twice so, it has to subtracted once from the total area.

∴ Total area =120+110−(2×2)

=230−4

=226sq.m

∴ Total area of the path =226sq.m.

Hence, solved.

Answer 2

Answer:

Given that the paths are 2m on each side and goes across to the center of the opposite side. So, basically we have on one side a rectangle of length 60m and breadth 2m whose area is A

1

=60×2=120m

2

and on another side a rectangle of length 59m and breadth 2m whose area is A

2

=55×2=110m

2

One important note, the area of the central part has been included twice so, it has to subtracted once from the total area.

∴ Total area =120+110−(2×2)

=230−4

=226sq.m

∴ Total area of the path =226sq.m.

Hence, solved.