The measure of the distance around a closed figure.

Post on 22-Dec-2015

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Transcript of The measure of the distance around a closed figure.

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…