Question

a farmer has a rectangular and square field. both the field has same perimeter. area of square field is 1296sq.m. breadth ofbthe rectangular field is half of its length. help the farmer to find the length and breadth of the rectangular field

Answer 1

The area of square field is 576 m^2

Therefore, side^2 = 576

Side = 24 m

Perimeter of Square field = 4 x side

= 4 x 24

= 96 m

Let the breadth of rectangular field = Y m

Then length of rectangular field = 2Y m

Perimeter of rectangle = 2(length + breadth)

= 2(2Y + Y)

= 2 x 3Y

= 6Y

AS PERIMETER OF SQUARE = PERIMETER OF RECTANGLE

Therefore, 6Y = 96

Y = 96 / 6

Y = 16 m

Means the length of rectangular field is 2 x 16

= 32 m and breadth is 16 m.

Area of rectangle = l x b

= 16 x 32

= 512 m^2