Question

The width of a rectangle is 1/2 its length. The perimeter of the rectangle is 540 ft. What is the length, in feet, of the rectangle?

Answer 1

The rectangle

The equation of the perimeter of a rectangle is

`P=2l+2w`

We know the value of the perimeter and have a unknow for l(lenght) and w(width) so, we can replace and we will have an equation with the variable x(length)

replacing

`540=2(x)+2((x)/(2))`

simplify parenthesis

`540=2x+x`

add x's

`\begin{gathered} 540=3x \\ \end{gathered}`

and solve for x dividing the equation on 3

`x=180`

the value of x or the length is 180 ft