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Answer:
Question 1:
A square and a rectangular field with measurements as given in the figure have the same
perimeter. Which field has a larger area?
Answer 1:
Given: The side of a square = 60 m
And the length of rectangular field = 80 m
According to question,
Perimeter of rectangular field = Perimeter of square field
2l b
= 4 x side
2 80 4 60 b
160 2 240 b
2 240 160 b
2 80 b
b = 40
m
Now Area of Square field =
2
Side
=
2
60
= 3600 m2
And Area of Rectangular field = length x breadth = 80 x 40 = 3200 m2
Hence, area of square field is larger.
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