30
Name:
Geometry
Date:
Painting Project
As you all know I recently purchased a new home and moved in. My home is
1240 square feet and it has three levels. The first level is my garage, laundry room and
entryway. The second level is the kitchen, eating area, small bathroom and living room.
The third floor has three bedrooms and the bathroom. The entire house is painted in
Navaho White. It will be your job to determine how much paint I need to paint the
house, how much it will cost and what color I should paint it. The paint I am using is
Benjamin Moore. It costs about $30.50 for primer and $32.33 for each color. It covers
about 350 square feet.
Job #1 (Living Room): My living room is 18 feet by 24 feet. It has a sliding glass door
which is 8 feet by 6 feet 5 inches. It has one window which is 4 feet by 2 ½ feet.
a) Determine the area of the Living Room.
b) If my back wall is 18 by 7 feet, determine the area of this wall where I am
painting an accent color.
c) How many cans of paint will I need prime and paint the entire living room one
color? How much will it cost to prime and paint?
d) What color should I paint the living room?
e) How many cans of paint will I need for the accent wall? How much will it cost?
What color should the accent wall be?
W
Slider
Kitchen
Living
Room
Dining
Room
W
W
Job # 2 (Kitchen and Eating Area): My kitchen and eating area is 14 feet by 24 feet.
The Kitchen has about 150 square feet of cabinets and appliances. It also has 2 windows,
which are the same size as the ones in the living room.
a) Determine the total area of the Kitchen/Eating Area
b) Determine the total paintable area of the Kitchen/Eating Area
c) How many paint cans will it take to prime this area? What is the total cost?
d) How many paint cans will it take to paint this area? What is the total cost?
e) The walls with the windows are going to be my accent wall. It is 24 feet by 7
feet, determine its total area.
f) If I plan to paint the accent wall, how many cans of paint will I need and how
much will it cost?
g) What color should I paint the kitchen/eating area? Should it be the same as the
living room?
C
Bathroom
Bed # 2
W
Master
Bedroom
W
C
Bed # 3
C
C
W
Job # 3 (Upstairs): I plan to paint all three of my bedrooms 3 different colors. The
master bedroom is 12 feet by 13 feet. It has one window and two closets which are 3 ½
feet by 6 feet. Bedroom 2 is the smallest, I use this for my office, and it is 10 feet by 8
feet. It has one window and one closet which are 3 feet by 6 feet. Bedroom 3 will be
used as my guest bedroom; it has one window and one closet, the same size as
Bedroom 2. My hallway and bathroom will remain a neutral color.
a) Determine the total area of the Master Bedroom.
b) Determine the total area of Bedroom 2.
c) Determine the total area of Bedroom 3.
d) Determine the paintable area of the Master Bedroom.
e) Determine the paintable area of Bedroom 2.
f) Determine the paintable are of Bedroom 3.
g) How many cans of paint and how much will it cost to prime and paint the Master
Bedroom?
h) How many cans of paint and how much will it cost to prime and paint the
Bedroom 2?
i) How many cans of paint and how much will it cost to prime and paint the
Bedroom 3?
j) What color should I paint the Master Bedroom?
k) What color should I paint Bedroom 2?
l) What color should I paint Bedroom 3?
Job # 4 (Cost): It is your job to determine the cost to paint the entire house. Remember
though while the labor is free, because I will be doing it myself, I have to pay for more
than just paint.
The paint brushes cost $11.97 for a pack of three. Drop cloths, so I don’t get paint on
the floor, cost $21.95 for 4 the size of a queen size sheet. A box of rags cost $7.95, the
spackle cost $3.95, and the paint cup costs $4.85. I can buy a paint rolling kit which
contains a roller, a rolling pad, a paint tray and a reusable paint tray for $19.99. One
rolling pad is now enough so I will need to purchase a lot more, about 4 packs at $6.95
each. I also need a few more rollers for when my family helps me, they cost $12.56 each.
I also need some sand paper to sand the spackle before I paint, this is inexpensive at 95
cents a pack. Last but not least I will need painters tape to tape the edges, it costs $7.95
and I need two rolls.
a) What is the cost of the paint and primer for the first floor?
b) What is the cost of the paint and primer for the second floor?
c) What is the total cost of the paint and primer for the entire house?
d) What is the total cost for non-paint items?
e) What is the total cost for paint and non-paint items?
Job # 5(Details): I want to thank you for helping me determine the cost for painting my
house and the colors I will paint my room. But before I end my painting extravaganza I
want to add some detail to the house.
a) I want to paint a circle enclosed inside a square. I want to design a clock inside
the circle. The square will have a length of 3 feet. What is the area of the circle
for my clock? What is the area of the square?
b) Using pencil and string I drew the circle first. It has a diameter of 7 inches. What
is the area of the circle and the square inscribing it?
c) I am still not happy, so I draw another circle with a circumference of 10π. What
is the area of the circle and the area of the square inscribing it?
d) If it takes Ben four and a half hours to paint my living room and it takes Shelby 3
hours to paint the same room, how many hours will it take them to pain the room
together?