Aballroom in a hotel has the shape shown. the manager needs to determine how much carpet is needed to recarpet this area. all angles are right angles. what is the area of the ballroom?
question 3 options:
42 sq yds
72 sq yds
82 sq yds
100 sq yds

Area of a rectangle=length x width

You have two rectangles:

First rectangle (the biggest):
length=9 yd
width=12 yd-6 yd=6 yd

Area of the biggest rectangle=(9 yd)(6 yd)=54 yd²

Second rectangle (the smallest)
length=6 yd
width=3 yd

Area of the smallest rectangle=(6 yd)(3 yd)=18 yd²

Area of the ballroom=area of the biggest rectangle + area of the smallest rectangle.

area of the ballroom=54 yd² +18 yd²=72 yd²