Answer:
Width of a rectangle = 4 cm
Length of a rectangle = 16 cm
Step-by-step explanation:
Let width of a rectangle be [tex]x[/tex] cm.
The length of a rectangle is 4 times the width.
Length of a rectangle [tex]=4x[/tex] cm
Area of rectangle [tex]=64[/tex] square centimeters.
Also,
Area of rectangle = length × breadth
[tex]64=4x(x)\\64=4x^2\\16=x^2[/tex]
± [tex]x=4[/tex]
Being a dimension, [tex]x[/tex] can not be negative.
So,
[tex]x=4[/tex] cm
Width of a rectangle = 4 cm
Length of a rectangle = 4(4) =16 cm
