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The measure of the distance around a closed figure.
Think of perimeter like a fence around
a yard.
On crime shows you often hear law enforcement say, “We need to set up a perimeter.”
How do you find the perimeter of a figure?
To find the perimeter of any closed figure simply add the length of each side of the figure together.
2 cm 2 cm
3 cm
Perimeter = s1 + s2 + s3
P = 2 cm + 2 cm + 3 cm
P = 7 cm
write the FORMULAFORMULA you are using
SUBSTITUTESUBSTITUTE in the values
SOLVESOLVE the equation
LABELLABEL your answer
The amount of surface inside a closed figure.
Think of area like the amount of
carpet you would need in a room
ParallelogramsWhat polygons are parallelograms?
1) Square
2) Rectangle
3) Rhombus
4) Parallelogram
Parallelograms• Do all parallelograms have the same formula for area?
• We know that squares and rectangles use the formula Area = base Area = base • height• height
• Let’s use our GeoBoards to see if the area of a rhombus or parallelogram is also base • height
Area = bh
A = 5 in • 3 in
A = 15 in2
REMEMBER F.S.S.L!!!
How Do You Find the Area of a Parallelogram?
To find the area of any parallelogram use the formula Area = base Area = base ● ● heightheight and solve using the dimensions given.
5 in
3 in
Area = bh
A = 6 in • 4 in
A = 24 in2
REMEMBER F.S.S.L!!!
To find the area of any parallelogram use the formula Area = base Area = base ● ● heightheight and solve using the dimensions given.
6 in
5 in
How Do You Find the Area of a Parallelogram?
4 in
Triangles•We can use the formula for a parallelogram to help us find the area of any triangle.
•Let’s use our GeoBoards to help us determine this formula.
A = ½bh
A= ½ • 8ft • 10ft
A = 4ft • 10ft
A = 40 ft2
REMEMBER F.S.S.L!!!
How do you find the area of a triangle?
To find the area of a triangle use the formula Area = ½ base Area = ½ base ● height● height and solve using the dimensions given.
8 ft
6 ft10 ft
10 cm
16 cm
8 cm
8 cm
8 cm
How do you find the area of a trapezoid?
base1
base2
base2
The amount of space in a 3-D object.
Think of volume like the
amount of liquid you
could pour into a cup
Volume = lwh
V = 6 in • 2 in • 4 in
V = 48 in3
REMEMBER F.S.S.L!!!
How do you find the volume of a rectangular prism?
To find the volume of a rectangular prism use the formula Volume = length Volume = length ● ● width width ●● heightheight and solve using the dimensions given.
4 in
2 in6 in
Depending on the measurement you are solving for (area, volume, or perimeter) your label will change.
Perimeter = unit
Area = unit2
Volume = unit3
Find the perimeter & area of… 15 cm
5 cm
15 cm
5 cm
Find the perimeter & area of…
4 cm
Find the perimeter & area of…
12 cm 12 cm
12 cm
9 cm
Find the volume of…
3 cm
3 cm6 cm
Find the perimeter & area of…
9 cm
12 cm
5 cm
13 cm
Construct the following shape…I have a rectangle that has a perimeter of 24
mm and an area of 32 mm2. What are the dimensions of my rectangle?
Construct the following shape…I have a triangle that has a perimeter of 23 ft
and an area of 15 ft2. What are the dimensions of my triangle?
Draw this triangle.
Find the area of the gold region…
6m
3m 8m
6m
Find the area of the green region…
9in
12in4in
7in
Find the area of the red region…
10mm
12mm
3mm6mm
Find the area of the blueish region…