Answer:
If the perimeter of the rectangle is 64 cm then the length is 18 cm and width is 14 cm
Solution:
Need to find the length and width of the rectangle.
Given that length of rectangle is 4 cm longer than it’s width
Let’s assume width of the rectangle = x cm
So length of the rectangle which is 4 cm longer that width = x + 4 cm.
Perimeter of rectangle = 2(length + width) ------ (1)
Also given that perimeter = 64 cm
Substituting given value of perimeter and assumed value of width and length in equation (1), we get
64 = 2 ((x + 4) + (x))
On solving above expression for x, we get
64 = 2 (2x + 4)
=> 64 = 4x + 8
=> 4x = 64 – 8 = 56
=>x = 14
Width of rectangle = x = 14 cm
Length of rectangle = x + 4 = 14 + 4 = 18 cm
Hence width of rectangle = 14 cm and length of rectangle = 18 cm.