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Question
The length of a rectangular field is 8 m and breadth is 2 m. If a square field has the same perimeter as this rectangular field, find which field has the greater area.
Solution
We have given, perimeter of the rectangular field = perimeter of the square field
⇒ 2(length + breadth) = 4 × side
⇒ 2(8 + 2) m = 4 × side
⇒ 2(10) m = 4 × side
⇒ 20 m = 4 × side
⇒ `20/4` m = side
⇒ side = 5 m
Now, area of the rectangular field = length × breadth = 8 m × 2 m = 16 m2
Area of the square field = side × side = 5 m × 5 m = 25 m2
∴ The square field has greater area than that of rectangular field.
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