Question

The scale for the drawing of a rectangular playing field is 2 inches equals 7 feet. Find an equation you can use to find the dimensions of the actual field. What are the actual​ dimensions? length width 12 in. 6 in. Find an equation you can use to find the dimensions of the actual field. Use the equation yequals nothing​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

Actual dimension of the field = 42 ft × 21 ft

Equation :
`y=(7)/(2)x`

Explanation:

Scale for the drawing of a rectangular playing field is,

2 inches = 7 feet

Or 1 inch = 3.5 feet

If length of the playing field on drawing = 12 in

Then actual length of the field = 12×3.5 = 42 feet

And width on the drawing = 6 inches

Therefore, actual width of the field = 6×3.5 = 21 feet

If 'x' is the dimension of a scale drawing and 'y' be the corresponding dimension of the actual field,

`(x)/(y)=(2)/(7)`

`y=(7)/(2)x`