Question

Question:-
Each side of a square field measure 21m. Adjacent to this field, there is a rectangular field having its sides in the ratio 4 : 3. If the perimeters of both the fields are equal, find the dimensions of the rectangular field.






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Answer 1

Answer:

Side of the square field = 21m. Now, Perimeter of square field = 4 * 21 = 84cm . Let the length be 4x , and breadth be 3x . So, Perimeter of the rectangular field = 2 ( 4x + 3x ) = 2(7x) = 14x

Answer 2

Answer:

l = 24, b = 18

Step-by-step explanation:

As it is given in the question

Side of a Square = 21m

perimeter of square = 4*21

= 84

according to the question

perimeter of square = perimeter of rectangle

Now

let the length of the rectangle be 4x

and the breadth of the rectangle be 3x

so

perimeter of rectangle = 2(l+b)

84 = 2(4x + 3x)

84 = 8x + 6x

84 = 14x

84/14 = x

6 = x

Therefore

length = 4x = 4×6 = 24

breadth = 3x = 3×6 = 18