Mike’s current restaurant measures 60 feet by 30 feet. due to increase in the number of customers, he wants to rent a bigger restaurant. the dimensions of the bigger restaurant will be related by a scale factor of 2. what is the difference in area between mike's new restaurant and his current restaurant, in square feet?

5400 square feet. First, we will find the dimensions for the bigger restaurant, at a scale factor of 2, by multiplying the current restaurant dimensions of 60 feet and 30 feet each by 2. We find that the bigger restaurant is 120 feet by 60 feet.

Next, we find the areas of the current restaurant and the new restaurant by multiplying the length times the width for each. Thus, the current restaurant is 1800 square feet (60 feet times 30 feet) and the new restaurant is 7200 square feet (120 feet times 60 feet). We find the difference by subtracting 7200 square feet minus 1800 square feet to get the answer of 5400 square feet.