Question

Brendon is building a clubhouse where 1 inch on the plans is equivalent to 8 inches on the actual clubhouse.

If the clubhouse is to be 126 inches wide, what will the width be on the plans?

Round answer to the nearest hundredth if necessary.

Answer 1

To find the width of the clubhouse on the plans, we need to use the given scale of 1 inch on the plans being equivalent to 8 inches on the actual clubhouse. Let's assume that "x" inches on the plan correspond to the actual width of 126 inches of the clubhouse.

Using the proportionality of the scale, we can set up the following equation:

1 inch / 8 inches = x inches / 126 inches

Simplifying the equation, we can cross-multiply to get:

8 inches * x inches = 1 inch * 126 inches

8x = 126

x = 15.75

Therefore, the width of the clubhouse on the plans is 15.75 inches.