Perimeter Area Volume.

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Presentation transcript:

Perimeter Area Volume

The measure of the distance around a closed figure. Perimeter 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 3 cm Perimeter = s1 + s2 + s3 P = 2 cm + 2 cm + 3 cm P = 7 cm

write the FORMULA you are using F.S.S.L F. write the FORMULA you are using S. SUBSTITUTE in the values S. SOLVE the equation L. LABEL your answer

The amount of surface inside a closed figure. Area The amount of surface inside a closed figure.

Think of area like the amount of carpet you would need in a room

Parallelograms What 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 • height Let’s use our GeoBoards to see if the area of a rhombus or parallelogram is also base • height

How Do You Find the Area of a Parallelogram? To find the area of any parallelogram use the formula Area = base ● height and solve using the dimensions given. REMEMBER F.S.S.L!!! 5 in 3 in Area = bh A = 5 in • 3 in A = 15 in2

How Do You Find the Area of a Parallelogram? To find the area of any parallelogram use the formula Area = base ● height and solve using the dimensions given. 6 in REMEMBER F.S.S.L!!! Area = bh A = 6 in • 4 in A = 24 in2 5 in 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.

How do you find the area of a triangle? To find the area of a triangle use the formula Area = ½ base ● height and solve using the dimensions given. REMEMBER F.S.S.L!!! A = ½bh A= ½ • 8ft • 10ft A = 4ft • 10ft A = 40 ft2 6 ft 10 ft 8 ft

8 cm 8 cm 16 cm 8 cm 10 cm

How do you find the area of a trapezoid? base2 base1 base2

The amount of space in a 3-D object. Volume The amount of space in a 3-D object.

Think of volume like the amount of liquid you could pour into a cup

How do you find the volume of a rectangular prism? To find the volume of a rectangular prism use the formula Volume = length ● width ● height and solve using the dimensions given. REMEMBER F.S.S.L!!! Volume = lwh V = 6 in • 2 in • 4 in V = 48 in3 4 in 2 in 6 in

Labels 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

Find the perimeter & area of… 15 cm 5 cm 4 cm

Find the perimeter & area of… 12 cm 12 cm 9 cm 12 cm

Find the volume of… 3 cm 6 cm

Find the perimeter & area of… 13 cm 9 cm 5 cm 12 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… 3m 8m 6m 6m

Find the area of the green region…

Find the area of the red region… 12mm 10mm 6mm 3mm

Find the area of the blueish region…