each side of a square field measure 21 adjacent to this field there is a rectangular field having its sides in ratio 4 ratio 3 if the perimeter of both the fields are equal find the dimensions of the rectangular field
Answers
Answered by
71
Side of the square field = 21m.
Since the Ratio of sides of rectangular field is 4:3, therefore,
Let the dimensions of rectangle be '4x' & '3x'.
Acc. to Question,
Perimeter of Square = Perimeter of rectangle
=> 4 × side = 2(l+b)
=> 4 × 21 = 2(4x + 3x)
=> 84 = 2 × 7x
=> 7x = 84/2
=> x = 42/7
=> x = 6.
Therefore, length of Rectangle = 4x = 4×6 = 24.
and breadth of Rectangle = 3x = 3×6 = 18.
Since the Ratio of sides of rectangular field is 4:3, therefore,
Let the dimensions of rectangle be '4x' & '3x'.
Acc. to Question,
Perimeter of Square = Perimeter of rectangle
=> 4 × side = 2(l+b)
=> 4 × 21 = 2(4x + 3x)
=> 84 = 2 × 7x
=> 7x = 84/2
=> x = 42/7
=> x = 6.
Therefore, length of Rectangle = 4x = 4×6 = 24.
and breadth of Rectangle = 3x = 3×6 = 18.
Answered by
1
Answer:
4 ×side =2(L+B)
Step-by-step explanation:
4×21=2(4x+3x)
84 =2(7x)
14x= 84
×=84/14
×=6 Ans.
Similar questions