A path of 2 metres wide runs around out side a rectangular plot of length 25 metres and width 20 metres. Find the area of the path.
The length (l) = 25 metres, width (b) = 20 metres and width of the path (w) = 2 metres.
Since the path runs out side the rectangular plot, the measurements of the outer rectangle are
(l+2w) and (b+2w)
ie = 25 + (2*2) and 20 + (2*2)
= 25+4 and 20+4
= 29 and 24
Hence the area of the outer rectangle = (l+2w)(b+2w)
= 29 * 24
= 696 square metres.
The area of the inner rectangle = l * b
= 25 * 20
= 500 square metres.
Area of the path = (The area of the outer rectangle) - (The area of the inner rectangle)
i.e (l+2w)(b+2w) - lb
= 696 - 500
= 196 square metres.
Therefore, the area of the path is 196 square metres.
Directions: Read the above example carefully and answer the following questions:
- Draw a rectangular plot of side 12 centi-metres and 15 centi-metres. Draw a path of width 2 centimetres, around and outside the rectangular plot. Find the area of the path. Use different colors to represent the path and the rectangular plot.