Question

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A SQUARE AND A RECTANGULAR FIELD WITH MEASUREMENTS AS GIVEN IN THE FIGURE HAVE THE SAME PERIMETER. WHICH FIELD HA SA LARGER AREA?????​

Answer 1

Answer:

Answer:(a) Side of the square = 60 m

∴ Its perimeter = 4 x side

= 4 x 60 m

= 240 m

Area of the square = Side x Side

= 60 m x 60 m

= 3600 m2

(b) ∵ Perimeter of the rectangle = Perimeter of the given square

∴ Perimeter of the rectangle = 240 m

or 2 x [Length + Breadth] = 240 m

or 2 x [80 m + Breadth] = 240 m

or 80 m + Breadth = 240 over 2 straight m space equals space 120 space straight m

∴ Breadth = (120 - 80) m = 40 m

Now, Area of the rectangle = Length x Breadth

= 80 m x 40 m

= 3200 m2

Since, 3600 m2 > 3200 m2

∴ Area of the square field (a) is greater.

Answer 2

Perimeter of Square =4×side=4×60=240 sq metres

Area of Square = Side² =602=3600 square metre

Perimeter of Rectangle = 2(length + breadth)

Or, 240=2(80+breadth)

Or, 80+breadth=120

Or, breadth =120-80=40 metres

Area of rectangle = length x breadth =80×40=3200 square metres

Now it is clear that the area of the square field is greater than the area of the rectangular field

hope it will help you dear ❤