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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
9.44 Area of Rectangular Path - I

Example:
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.

Solution:
Given that,
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.



Q 1: A path of 1 metre wide, runs around out side a rectangular plot of length 20 metres. Find the width of the rectangular plot if area of the path is given by 74 square metres
9 metres
5 metres
10 metres
15 metres

Q 2: A path of runs around out side a rectangular plot of length 16 metres and width 14 metres. Find the width of the path if the area of the path is given by 136 square metres.
9 metres
1 metre
16 metres
2 metres

Q 3: A path of 3 metres runs around out side a rectangular plot of length 26 metres and width 22 metres. Find the area of the path.
785 square metres
324 square metres
125 square metres
257 square metres

Q 4: A path of 2.5 metres wide, runs around out side a rectangular plot of width 13 metres. Find the length of the rectangular plot if the area of the path is given by 111 square metres.
94 metres
18 metres
2 metres
74 metres

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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