Question

A ballroom 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

Answer 1

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