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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
10 metres
15 metres
9 metres
5 metres

Q 2: A path of 2 metres wide, runs around out side a rectangular plot of width 12 metres. Find the length of the rectangular plot if the area of the path is given by 124 square metres.
15 metres
13 metres
14 metres
12 metres

Q 3: 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

Q 4: A path of 1.5 metres wide, runs around out side a rectangular plot of length 15 metres and width 10 metres. Find the width of the rectanguler plot if the area of the path is 84 square metres.
12 metres
10 metres
7 metres
15 metres

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Question 6: This question is available to subscribers only!


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