Question

A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?

Answer 1

Answer:

The area of the actual building lot is $5,040\ ft^2$

Step-by-step explanation:

Scaling

The scaled rectangular building measures 7 feet by 5 feet. We know both magnitudes were scaled by a factor of 12, thus the real dimensions of the house to be built are 7*12=84 feet, and 5*12=60 feet.

The area of the actual building lot is calculated by:

$A=84\ ft*60\ ft=5,040\ ft^2$

The area of the actual building lot is $5,040\ ft^2$