Respuesta :
the width is 16 so the length is 64 (TO clarify W=16)
Hope this helps :)
Hope this helps :)
Answer:
Area of a rectangle is given by:
[tex]A = lw[/tex] ....[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.
⇒[tex]l = 4w[/tex]
It is also given that: area of rectangle is 1024 cm square
Substitute the given values in [1] we have;
[tex]1024=(4w)w[/tex]
⇒[tex]1024=4w^2[/tex]
Divide both sides by 4 we have;
[tex]256 = w^2[/tex]
or
[tex]w^2 =256[/tex]
Taking square root both sides we have;
[tex]w = \sqrt{256} = 16[/tex] cm
Therefore, the width of the rectangle is, 16 cm
