Maths-
General
Easy

Question

# Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.Carrie redesigned the container because the initial sketch did not account for cushioning material between the glasses. The area of the base of the newly designed container is   greater than the area of the base in the initial sketch. What is the area, in square inches, of the base of the newly designed container?

Hint:

## The correct answer is: 135

### Initial length of the base of the container = 12 inchesInitial breadth of the base of the container = 9 inchesThus, initial area of the base of the container =  square inches= 108 square inchesAccording to the question, the new area of the base is 25% greater than the initial area of the base.First we find the increase in the area of the base25% of initial area is given byThe increase in the area of the base is by 27 square inchesThus, the new area of the base = (108+27) square inches= 135 square inches= 135 square inchesThus, the area of the base of the newly designed container = 135 sq.inches

Note:
There is a shorter way of doing this problem. There is a simple rule followed while increasing or decreasing a value by a certain percentage.  When we decrease a quantity by x%, we multiply the quantity by (1-0.x). Whereas when we increase a quantity by x%, we multiply it with (1+0.x).