Question

a patio door is 72inches side. if a drawing of the door is made with a scale of 2 inches. = 3ft, what is the width of the door on the drawing?

Answer 1

In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.

72 inches = 6 feet

With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.

3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.

3x=12
X=4 inches

Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.