Question

A path 2.5 m wide is running around a rectangular grassy plot 40 m by 35 m. Find the area of the path and the money needed for tilling it at 115.60 per m?.​

Answer 1

Answer:

The given area will be inscribed between two rectangles of length and breadth.

We can imagine as a rectangle whose length has been increased on both the sides.

So, the sides of the outer triangle are,

Length = 35 + 5 = 40 m

And breadth = 40 + 5 = 45 m

40m and 45m, 40m and 35m respectively.

The area of the footpath = Area of outer rectangle - Area of inner rectangle

Area of the rectangle = length

×

breadth

∴

On substituting the values we get;

Area required = (45)

×

(40) - (40)

×

(35)

= 1800 - 1400

= 400

m

2

The area of the footpath is 400

m

2

.