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The measure of the distance around a closed figure

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Page 1: The measure of the distance around a closed figure
Page 2: The measure of the distance around a closed figure

The measure of the distance around a closed figure.

Page 3: The measure of the distance around a closed figure

Think of perimeter like a fence around

a yard.

Page 4: The measure of the distance around a closed figure

On crime shows you often hear law enforcement say, “We need to set up a perimeter.”

Page 5: The measure of the distance around a closed figure

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

Page 6: The measure of the distance around a closed figure

write the FORMULAFORMULA you are using

SUBSTITUTESUBSTITUTE in the values

SOLVESOLVE the equation

LABELLABEL your answer

Page 7: The measure of the distance around a closed figure

The amount of surface inside a closed figure.

Page 8: The measure of the distance around a closed figure

Think of area like the amount of

carpet you would need in a room

Page 9: The measure of the distance around a closed figure

ParallelogramsWhat polygons are parallelograms?

1) Square

2) Rectangle

3) Rhombus

4) Parallelogram

Page 10: The measure of the distance around a closed figure

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

Page 11: The measure of the distance around a closed figure

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

Page 12: The measure of the distance around a closed figure

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

Page 13: The measure of the distance around a closed figure

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.

Page 14: The measure of the distance around a closed figure

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

Page 15: The measure of the distance around a closed figure

10 cm

16 cm

8 cm

8 cm

8 cm

Page 16: The measure of the distance around a closed figure

How do you find the area of a trapezoid?

base1

base2

base2

Page 17: The measure of the distance around a closed figure

The amount of space in a 3-D object.

Page 18: The measure of the distance around a closed figure

Think of volume like the

amount of liquid you

could pour into a cup

Page 19: The measure of the distance around a closed figure

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

Page 20: The measure of the distance around a closed figure

Depending on the measurement you are solving for (area, volume, or perimeter) your label will change.

Perimeter = unit

Area = unit2

Volume = unit3

Page 21: The measure of the distance around a closed figure

Find the perimeter & area of… 15 cm

5 cm

Page 22: The measure of the distance around a closed figure

15 cm

5 cm

Find the perimeter & area of…

4 cm

Page 23: The measure of the distance around a closed figure

Find the perimeter & area of…

12 cm 12 cm

12 cm

9 cm

Page 24: The measure of the distance around a closed figure

Find the volume of…

3 cm

3 cm6 cm

Page 25: The measure of the distance around a closed figure

Find the perimeter & area of…

9 cm

12 cm

5 cm

13 cm

Page 26: The measure of the distance around a closed figure

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?

Page 27: The measure of the distance around a closed figure

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.

Page 28: The measure of the distance around a closed figure

Find the area of the gold region…

6m

3m 8m

6m

Page 29: The measure of the distance around a closed figure

Find the area of the green region…

9in

12in4in

7in

Page 30: The measure of the distance around a closed figure

Find the area of the red region…

10mm

12mm

3mm6mm

Page 31: The measure of the distance around a closed figure

Find the area of the blueish region…