The dimension of the rectangle: Length of the rectangle 'X' and breadth of the rectangle 2X / ( X-2 ) when A (Area) = 2 P (Perimeter)
The Area and Perimeter of the rectangle can be find using the formula of the Area and Perimeter:
Let the length of the Rectangle is 'L' and breadth of the Rectangle is 'B'.
Area of the rectangle = L x B
Perimeter of the rectangle = 2 ( L + B )
For example: What will be the area and perimeter of the rectangle with length 5 cm and breadth 8 cm.
Area of the rectangle = L x B = 5 x 8 = 40 cm²
Perimeter of the rectangle = 2 ( L + B ) = 26 cm
here, We have given that: Area = A and Perimeter = P
A = 2P
put the values of Area and Perimeter of the rectangle
L x B = 2 ( L + B )
Let the length of rectangle = 'X'
now, equation becomes
X x B = 2 ( X + B )
X x B = 2X + 2B
B = 2X / ( X - 2 )
Hence,
The dimension of the rectangle: Length of the rectangle 'X' and breadth of the rectangle 2X / ( X-2 ) when A (Area) = 2 P (Perimeter)
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