Question

The scale factor of the blueprint of a shopping mall to the actual shopping mall is 1in/18ft. The area of the mall on the blueprint is 190in^2

Answer 1

Answer:  $61,560\ ft^2$

Step-by-step explanation:

The missing question is: "What is the area of the actual shopping mall?"

Let be "x" the area of the actual shopping mall in square feet.

According to the information given in the exercise, the scale factor used is:

$\frac{1\ in}{18\ ft}$

Then, the scale factor for the area is:

$(\frac{1\ in}{18\ ft})^2=\frac{1\ in^2}{324\ ft^2}$

The exercise provides you the area of the mall on the blue print (which is $190\ in^2$). Then, knowing this, you can set up the following proportion:

$\frac{1}{324}=\frac{190}{x}$

Finally, you must solve for "x" in order to find its value. This is:

$\frac{1}{324}=\frac{190}{x}\\\\(x)(\frac{1}{324})=190\\\\x=190*324\\\\x=61,560$

Therefore, the area of the actual shopping mall is $61,560\ ft^2$