Two plots of land one square and other rectangle have same perimeter .if the rectangular field is of size 90m by 70m which plot has the greater area and by how much?

Dear Student, 
The detailed solution is attached below.

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The perimeter of rectangle = 90 + 70 + 90 + 70
= 140 + 180 = 320
Therefore, the perimeter of the square is also 320.
i.e: 320/4 = 80m p/s
Therefore, area of square = 80m x 80m = 1600 sq.cm
And, area of rectangle = 90m x 70m = 6300sq.cm.
The difference between the areas of both plots of land is:
6300 - 1600 = 4700.

Therefore, the area of the rectangular field was greater by 4700 sq.cm

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4700 sq.cm
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