Real-life Area Problems
1) The floor of a bathroom is rectangular, 6ft by 8ft. The toilet takes up space in shape of rectangle with two semicircles, one on each shorter end of toilet. The toilet rectangle is 14 in long and 10 inches wide. Someone wants to tile the floor with regular hexagons, 6 inches on each side. They want to use enough different colors so that no two of the same touch. What is minimum number of colors you can use to accomplish this goal? How many of each color tile will you need to purchase?
2) A person has some shapes of fabric cut out and wants to make a square quilt out of them. There are 30 regular hexagons that are 8 in. on each side and 50 equilateral triangles, also 8 in. on each side. What is the largest size quilt the person can make and how many of each shape will be left over?
3) A person wants to paint a bedroom that has 4 walls. Each wall measures 14 feet long and 9 feet high. One wall has a large window that has a rectangular shaped part with a semicircle on top of that. The rectangular window measures 4 feet across the bottom and is 6 feet up to where the semicircle starts. The semicircle has the same diameter as the width of the window. Another wall has closet doors measuring 6 feet across the bottom and 7 feet high. A third wall is where the door is located. The door is 3 feet wide and 7 feet tall. The person will not need to paint the window or the doors. You will need to research how much area a can of paint will cover and decide how many cans of paint the person will need to buy in order to put two coats of paint on the walls of the bedroom.