Question

The scale for the drawing of a rectangular

playing field is 2 inches = 3 feet. Find an equation you can use to find the
dimensions of the actual field. What are the actual dimensions?
Find an equation you can use to find the dimensions of the actual field.
Use the equation y = __x, where x is a dimension of the scale drawing (in inches) and y is the
corresponding dimension of the actual field (in feet).

Answer 1

`y=(2)/(3)x` is the required equation.

Explanation:

If
`y` represents the number of feet and
`x` represents the number of inches, we get the given statement "2 inches = 3 feet" in mathematical equation as:

`2x = 3y`

Solving this equation for
`y` will give us the required equation.

Actual dimensions are:

`Width\:=\:(2)/(3)\left(12\right)=8\:feet\\\\Length\:=\:(2)/(3)\left(24\right)=16\:feet`