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