Question

Juan's living room floor is shaped as shown. He wants to buy a rug the covers at least half of the floor area. Answer yes or no to determine if each rug dimension covers at least half of the floor area.

12 feet x 6 feet
10 feet x 9 feet
13 feet x 12 feet
3 feet x 12 feet
8 feet x 8 feet

Answer 1

Explanation:

Find the area of the shape by creating two shapes. A large rectangle and a very small triangle. The area of the rectangle is 13x12, and the area of the triangle is (1/2)3x4. The area of both shapes together is 6+156=162.

Now you can easily calculate the area of each rug and determine whether it is over half of 162 (because 162 is the area of the entire floor), or under half of 162. If it is under 81, then it does not cover at least half of the floor.

12x6 = 72 no

10x9 =90 yes

13x12 = 156 yes

3x12 = 36 no

8x8 = 64 no