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

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 = √(256) = 16` cm

Therefore, the width of the rectangle is, 16 cm