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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 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.
1 metre
2 metres
9 metres
16 metres

Q 2: 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.
324 square metres
125 square metres
785 square metres
257 square metres

Q 3: 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
12 metres
14 metres
13 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.
74 metres
2 metres
18 metres
94 metres

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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