Answer:
width of given rectangle = 6 cm
length of given rectangle = 4 cm
Step-by-step explanation:
Let the breadth be x cm
given that
The length of a rectangle is eight centimeters less than twice its width
length of rectangle in terms of x = 2(breadth ) - 8 = 2x - 8
we know perimeter of rectangle is given = 2(l + b)
thus, perimeter of given rectangle is = 2 ( x + 2x - 8) = 6x - 16
also given perimeter of the rectangle is 20 centimeters
thus,
6x - 16 = 20
6x = 20 + 16 = 36
x = 36/6 = 6
Thus,
width of given rectangle = 6 cm
length of given rectangle = 2*6 - 8 = 4 cm
