The measure of the distance around a closed figure.
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Transcript of The measure of the distance around a closed figure.
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The measure of the distance around a closed figure.
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Think of perimeter like a fence around
a yard.
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On crime shows you often hear law enforcement say, “We need to set up a perimeter.”
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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
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write the FORMULAFORMULA you are using
SUBSTITUTESUBSTITUTE in the values
SOLVESOLVE the equation
LABELLABEL your answer
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The amount of surface inside a closed figure.
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Think of area like the amount of
carpet you would need in a room
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ParallelogramsWhat polygons are parallelograms?
1) Square
2) Rectangle
3) Rhombus
4) Parallelogram
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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
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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
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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
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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.
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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
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10 cm
16 cm
8 cm
8 cm
8 cm
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How do you find the area of a trapezoid?
base1
base2
base2
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The amount of space in a 3-D object.
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Think of volume like the
amount of liquid you
could pour into a cup
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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
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Depending on the measurement you are solving for (area, volume, or perimeter) your label will change.
Perimeter = unit
Area = unit2
Volume = unit3
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Find the perimeter & area of… 15 cm
5 cm
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15 cm
5 cm
Find the perimeter & area of…
4 cm
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Find the perimeter & area of…
12 cm 12 cm
12 cm
9 cm
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Find the volume of…
3 cm
3 cm6 cm
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Find the perimeter & area of…
9 cm
12 cm
5 cm
13 cm
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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?
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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.
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Find the area of the gold region…
6m
3m 8m
6m
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Find the area of the green region…
9in
12in4in
7in
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Find the area of the red region…
10mm
12mm
3mm6mm
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Find the area of the blueish region…