Question

find the actual area of the gym. scale: 1 inch : 9 feet scale squared: 1 in² : 81 ft² blueprint area 52 in² actual area 52 × 81 = ? ft²

Explanation:

Step1: Identify the scale - squared ratio

The scale - squared is $1\mathrm{in}^2:81\mathrm{ft}^2$, which means that 1 square - inch on the blueprint represents 81 square - feet in actuality.

Step2: Multiply the blueprint area by the scale - squared factor

The blueprint area is $52\mathrm{in}^2$. To find the actual area, we multiply the blueprint area by the conversion factor. So, the actual area $A = 52\times81$.
$52\times81=(50 + 2)\times81=50\times81+2\times81=4050+162 = 4212\mathrm{ft}^2$.

Answer:

$4212$