The length of a rectangle is four times its width.
the rectangle has an area of 1024cm^2.

work out the width of the rectangle.

Step-by-step explanation:

Area of a rectangle is given by:

           [1]

where

l is the length

w is the width of the rectangle respectively.

As per the statement:

the length of a rectangle is four times its width.

⇒

It is also given that: area of rectangle is 1024 cm square

Substitute the given values in [1] we have;

⇒

Divide both sides by 4 we have;

or

Taking square root both sides we have;

cm

Therefore, the width of the rectangle is, 16 cm