area of square and rectangle is same . if side of square is 40cm and breadth of rectangle is 25cm find length and perimeter of rectangle
Answers
Answer:
Given,
Side of Square (s) = 40 cm
Breadth of Rectangle (b) = 25 cm
According to the sum,
Area of Square = Area of Rectangle
= s² = lb
= (40)² = 25l
= 1600 = 25l
64 cm is the length.
Perimeter of Rectangle = 2(l+b)
= 2(25+64) cm
= 2*89 cm
= 178 cm
I hope this helps.
To find, First we have to find the perimeter of square
Area of square = side × side
Area of square = 40 × 40
Area of square = 1,600 cm²
________________________
Now breadth of the rectangle = 25 cm
Therefore, Lenght of the rectangle will be
Area of the rectangle divided by breadth
[ Area of the rectangle is same as the square | Given ]
________________________
Length of rectangle = A ÷ b
Length of rectangle = 1,600 ÷ 25
Length of rectangle = 64 cm
Therefore, Length of the rectangle = 64 cm
________________________
Now Perimeter of rectangle,
Perimeter of rectangle = 2 × ( L + B )
Perimeter of rectangle = 2 × ( 64 + 25 )
Perimeter of rectangle = 2 × 89
Perimeter of rectangle = 178 cm
Therefore, Perimeter of rectangle = 178 cm