You must have observed that quite often,
in gardens or parks, some space is left all
around in the form of path or in between
1 as cross paths. A framed picture has some
space left all around it. We need to find
the areas of such pathways or borders
when
I we want to find the cost of making them.
A rectangular park is 45 m long and 30 m
wide. A path 2.5 m wide is constructed
outside the park. Find the area of the
path.
Р
12.5 m
45 m
Q
B
А
30 m
ID
SU
IR
Answers
Given:
A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park.
To find:
The area of the path.
Solution:
Finding the area of the rectangular park:
Length = 45 m
Breadth = 30 m
∴ Area of the rectangular park = length × breadth = 45 × 30 = 1350 m²
Finding the area with the constructed path:
The width of the path = 2.5 m
New length = 45 + (2 × 2.5) = 50 m
New breadth = 30 + (2 × 2.5) = 35 m
The area of the park along with the path = 50 × 35 = 1750 m²
Finding the area of the path:
The area of the path is,
= [Area with path] - [Area without path]
= 1750 m² - 1350 m²
= 400 m²
Thus, the area of the path constructed outside the park is → 400 m².
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