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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asked Dec 30, 2017 in Mathematics by Golu (37,045 points) 19 172 618

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area

1 Answer

+1 vote
answered Dec 30, 2017 by anukriti (13,536 points) 5 10 43
selected Dec 30, 2017 by Golu
 
Best answer

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

Now Area of Square field = (Side)2 = 602 = 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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