a rectangle is four times as long as it is wide. If the area of the rectangle is 1600cm squared, what are the dimensions

Question

A rectangle is 4 times as long as it is wide. If the area is 1600cm squared, what are the dimensions.

Answer 1

Let width = x

Let length = 4x

 

Using these variables, set up the equation for area.

 

x(4x) = 1600

 

Solve for x.

 

4x² = 1600

 

  x² = 400

 

 

Square-root both sides of the equation.

 

  x = √400

 

  x = 20

 

 

Plug in this value of x to find the actual dimensions.