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

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

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}