Question

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

Answer 1

The width is 16 so the length is 64  (TO clarify W=16)

Hope this helps :)

Answer 2

Answer:

Area of a rectangle is given by:

$A = lw$            ....[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.

⇒$l = 4w$

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

Substitute the given values in [1] we have;

$1024=(4w)w$

⇒$1024=4w^2$

Divide both sides by 4 we have;

$256 = w^2$

or

$w^2 =256$

Taking square root both sides we have;

$w = \sqrt{256} = 16$ cm

Therefore, the width of the rectangle is, 16 cm