Area vs. Perimeter
Area
A measurement of the number of
square units needed to cover a given
62B
Perimeter
The sum of the lengths of the sides of
a polygon.
space.
“covering” a shape
“bordering” a shape
Square units – cm2
Single units - cm
What is the formula for the area of a rectangle? ________________________
What does the formula mean? ______________________________________
What is the formula for area of a square? _____________________________
What does the formula mean? ______________________________________
What is the formula for the perimeter of a rectangle? ____________________
What does the formula mean? ______________________________________
What is the formula for perimeter of a square? _________________________
What does the formula mean? ______________________________________
What is the formula for area of a triangle? ____________________________
What does the formula mean? ______________________________________
Solving Perimeter Problems
Step 1: Write the shape
Step 2: Write the formula and the dimensions
Step 3: Replace the formula equation with the appropriate numbers
Step 4: Solve and label with the correct unit of measure
Solve for Perimeter:
10 cm
5 cm
Solve for Perimeter:
1.
14 cm
2.
3.
2.3 in
28 km
11.7 in
9.4 in
8 km
Area of Rectangles and Parallelograms
Step 1: Write the shape
Step 2: Write the formula and the dimensions
Step 3: Replace the formula equation with the appropriate numbers
Step 4: Solve and label with the correct unit of measure
Solve for Area:
10 cm
5 cm
Solve for Area:
1.
3.
2.
17 in
28 km
8 km
15 in
42 in
23.1 mm
72.3 mm
Area of Triangles
Step 1: Write the shape
Step 2: Write the formula and the dimensions
Step 3: Replace the formula equation with the appropriate numbers
Step 4: Solve and label with the correct unit of measure
Solve for Area:
5 ft
4 ft
Solve for Area:
1.
2.
7.2 m
3.
16 in
12 ft
12 ft
3.3 m
42 in
Area and Circumference of a Circle
Vocabulary
Circumference
the distance around a circle
Diameter
a line segment that passes through the center
of a circle and has its endpoints on the circle
Radius
a line segment with one endpoint at the center
of the circle and the other endpoint on the
circle
What is the radius of a circle?______________________________________
What is the diameter of a circle?____________________________________
What is the difference between the radius and the diameter?______________
_____________________________________________________________
What is the formula for circumference of a circle?______________________
What does the formula mean?_______________________________________
What is the formula for area of a circle?______________________________
What does the formula mean? ______________________________________
Circumference of a Circle
Step 1: Write the shape
Step 2: Write the formula and the dimensions
Step 3: Replace the formula equation with the appropriate numbers
Step 4: Solve and label with the correct unit of measure
Solve for Circumference:
6 cm
Solve for Circumference:
1.
12.6 in
2.
8 mm
3.
14.2 km
Area of a Circle
Step 1: Write the shape
Step 2: Write the formula and the dimensions
Step 3: Replace the formula equation with the appropriate numbers
Step 4: Solve and label with the correct unit of measure
Solve for Area:
6 cm
Solve for Area:
1.
12.6 in
2.
8 mm
3.
14.2 km
Area or Perimeter
1) A football field is rectangular in shape,
with a length of 120 yards and a width of
54 yards. What is the distance around the
football field?
Area or perimeter?
2) Mrs. Klimek needs to purchase a new rug.
Each side is 8.5 feet. How much floor
space will the rug cover?
Area or perimeter?
3) The length of a room is 10.5 ft and the
width is 12.75 ft. Mrs. Smith wants to
paint a blue border around the room,
what is the total distance she would
paint?
Area or perimeter?
4) Mr. McKenzie needs to buy a new cover
for the swimming pool on the roof. The
swimming pool is rectangle-shape with a
length of 25 meters and a width of 20
meters. How big should the cover be?
Area or perimeter?
Solve
5) Mr. St. Clair is putting up a fence for his
dog Nella. It will be 8 feet long on all
sides. How much room will Nella have to
run around in the yard?
6) Mrs. Marine is putting a fence around her
backyard so Remi can play outside. The
length of her yard is 5 ft. and the width is
3.3 ft. How much fencing will she need?
7) Mrs. Ritenour’s lawn is triangle shaped
with a base of 25 feet and a height of 10
feet. How much grass does Mrs. Ritenour
have to mow during the summer?
8) Mrs. Molchany is baking a cake for Mrs.
Dennis. The cake has a radius of 6.7
inches. How big will the cake plate she
sets it on have to be?
Area and Perimeter Homework
1. Brendan wants to put
weather stripping around
the window in his room.
The window measures 3.6
ft by 4.7 ft. How must
weather stripping does he
need?
2. A football field is
3. Carrie wants to put a
rectangular in shape, with
fence around a rectangular
a length of 120 yards and a
garden. The garden has a
width of 53 yards. What is
length of 15.2ft and a
the area of the football
width of 10 ft. How much
field?
fencing should Carrie buy?
4. Whitney built a circular
patio in her backyard. The
radius is 11 feet. Rounded
to the nearest whole
number, what is the
circumference of the
patio?
5. A triangle has a base of 34 6. Find the area.
feet and a height that is
12 feet less than the base.
What is the area of the
triangle?