Question

. In each of the following the data are the measurements of a field, as noted in a surveyor's field book. Make a rough plan of the field in each case and then find the area.

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Answer 1

Answer:

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Answer 2

Sol. Let x be the breadth of the rectangle. It is given that the perimeter of a rectangle = perimeter of the square.

∴ 2(80 + x) = 4 × 60

⇒80 + x = 120

⇒x = 120 – 80 = 40

i.e. breadth of the rectangle = 40 m

Now, Area of the square = (60 × 60) m2

= 3600 m2

and the area of the rectangle = (40 × 80) m2

= 3200 m2

Hence, the square field has a larger area.

Hope it helps