Jeopardy FormulasP & A Complex Shapes Conversions Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

$100 Question from Formulas What is the formula for the perimeter for the figure on the right? b h

$100 Answer from Formulas The perimeter is the distance around a figure. The outside edge (walking around the outside). P = b + h + b + h b h

$200 Question from Formulas What is the formula for the area for the figure on the right? a b c h

$200 Answer from Formulas The area is the amount of surface covered by a figure in square units. The area inside the figure (the grass in a backyard). a = b x h DO NOT use a or c you need to 2 use the vertical height! a b c h

$300 Question from Formulas What is the formula for the area for the figure on the right? b a h

$300 Answer from Formulas The area is the amount of surface covered by a figure in square units. The area inside the figure (the grass in a backyard). b a h a = b x h (DO NOT use a because a is not the vertical height- from the bottom to the top) !

$400 Question from Formulas What is the formula for the perimeter for the figure on the right? b c h a

$400 Answer from Formulas The perimeter is the distance around a figure. The outside edge (walking around the outside). P= a + b + c DO NOT use h because that is outside the shape! b c h a

$500 Question from Formulas What is the formula for the area and perimeter for the figure on the right? h b c a

$500 Answer from Formulas Perimeter is around the outside. p = h + b + c + a Area is the total amount inside. Area of the rectangle = b x h Area of the triangle = (b - a) x h 2 h b c a Area of the shape = area of rectangle + area of triangle

$100 Question from Perimeter and Area of a Parallelogram Ashley want to make a frame for her picture that is 6inches wide and 8 inches long. How many inches of frame would Ashley need?

$100 Answer from Perimeter and Area of a Parallelogram The perimeter is the outside. p = b + h + b + h p = 6in. + 8in. + 6in. + 8in. p = 28 in. Ashley would need 28 inches of frame. 6 in. 8 in.

$200 Question from Perimeter and Area of a Parallelogram What is the perimeter of the figure on the right? 3 cm 8cm 10cm

$200 Answer from Perimeter and Area of a Parallelogram Perimeter is the outside. p = a + b + a + b p = 3cm + 10cm + 3cm + 10cm p = 26cm Hint: Use 10cm because it is the outside number 3 cm 8cm 10cm

$300 Question from Perimeter and Area of a Parallelogram My backyard is a square. One side is 3km wide. How much grass would I need to fill my backyard completely?

$300 Answer from Perimeter and Area of a Parallelogram Area is the inside. a = b x h a = 3km x 3km a = 9 sq. km You would need 9 sq. km of grass. 3 km The shape is a square 3km

$400 Question from Perimeter and Area of a Parallelogram What is the area for the figure on the right? 2ft. 5ft7ft

$400 Answer from Perimeter and Area of a Parallelogram Area is the inside. a = b x h a = 2 ft x 5ft a = 10 sq. ft Hint: Use 5 because it is the Vertical Height 2ft. 5ft7ft

$500 Question from Perimeter and Area of a Parallelogram What is the area and perimeter of the figure? 12m 7m 9m

$500 Answer from Perimeter and Area of a Parallelogram Area is inside. a = b x h (vertical height) a = 12m x 7m a = 84 sq. m Perimeter is the outside. p = a + b + a + b p = 12m + 9m + 12m + 9m p = 32m 12m 7m 9m

$100 Question from Perimeter and Area of a Triangle What is the perimeter of the figure? 6 yds 8yds

$100 Answer from Perimeter and Area of a Triangle Perimeter is the outside. p = a + b + c P = 6yds + 6yds + 6yds (Hint: 8yds is inside the triangle) 6 yds 8yds

$200 Question from Perimeter and Area of a Triangle What is the area of the figure? 6 yds 4 yds 6 yds 5yds

$200 Answer from Perimeter and Area of a Triangle Area is the inside. a = b x h (vertical height) 2 a = 4 yds X 5 yds 2 a = 10 sq. yds 6 yds 4 yds 6 yds 5yds

$300 Question from Perimeter and Area of a Triangle What is the perimeter of the figure? 8km 12km 10km 9km

$300 Answer from Perimeter and Area of a Triangle Perimeter is the outside. p = a + b + c p = 9km + 8km + 12km = 29km 8km 12km 10km 9km 8km 12km 10km 9km

$400 Question from Perimeter and Area of a Triangle What is the area of the figure? 8km 12km 10km 9km

$400 Answer from Perimeter and Area of a Triangle Area is the inside. a = b x h (vertical height) 2 a = 8 x 10 = 40 sq. km 2 8km 12km 10km 9km

$500 Question from Perimeter and Area of a Triangle Kasyn’s green triangular sail on his sailboat has a base of 9m and a height of 12m. It ripped in a storm and the whole sail needs to be replaced. How much fabric will Kasyn need in order to fix the sail?

$500 Answer from Perimeter and Area of a Triangle Use area because it is the entire sail. a = b x h 2 a = 9m x 12m a = 98 sq. m / 2 a = 49 sq. m Kasyn will need 49 sq. m of fabric. 9m 12m

$100 Question from Complex Shapes What is the perimeter of the figure? 2m 5m 1m 7m 8m

$100 Answer from Complex Shapes Perimeter is the outside. p = addition of all sides p = 8m + 2m + 1m + 7m +5m + 7m + 2m + 2m p = 34m 2m 5m 1m 7m 8m 2m 7m

$200 Question from Complex Shapes What is the area of the figure? 3m 10m 6m 5m

$200 Answer from Complex Shapes 3m 10m 6m 1. Area of Rectangle = b x h a = 6m x 3m a = 18 sq. m plus 2. Area of Triangle = bxh 2 a = 4m x 3m 2 a = 12 sq. m / 2 a = 6 sq. m Area of shape = = 24 sq. m 4m 3m 5m

$300 Question from Complex Shapes What is the perimeter of the figure? 3m 10m 6m 5m

$300 Answer from Complex Shapes Perimeter is the outside. p = add all sides together p = 6m + 5m + 10m +3m p = 24m 3m 10m 6m 5m

$400 Question from Complex Shapes What is the area of the figure? 5mm 1mm 2mm 6mm 2mm 4mm

$400 Answer from Complex Shapes Area is the inside. a of rectangle = bxh 5mm 1mm 2mm 6mm 2mm 4mm 1. Divide figure into rectangles. 2. Calculate area for each rectangle. 3. Add areas together. 4x2 (6 +2)-2 = 6mm 4-1 = 3mm 6x3 5x2 a (1) = 4x2 = 8 sq. mm a (2) = 6x3 = 18 sq. mm a (3) = 5x2 =+ 10 sq. mm Area of shape = 36sq. mm

$500 Question from Complex Shapes What is the area and perimeter of the figure? 10 in 5 in 16in 7in 3 in 9in 5 in

$500 Answer from Complex Shapes Perimeter is the outside. p = add all sides together. p = p = 44 in. 10 in 5 in 13in 7in 3 in 9in 5 in Area is amount inside. 1.Divide figure into shapes. 2.Calculate are for shapes 3.Add area’s together. 9-5 = 4in (13+3)-10 = 6in 10x5 5x6 2 3x4 2 area rectangle = 10 x 5 = 50 sq. in area triangle 1 = 3 x 4 / 2 = 6 sq. in area triangle 2 = 5 x 6 /2 = +15 sq. in Area of shape = 71 sq. in

$100 Question from Conversions What are the following conversion to feet? A) 48 inches = ? feet B) 6 yards = ? feet

$100 Answer from Conversions Conversions 1 ft = 12 inches 1 yard = 3 feet A) 48 in 1 ft = 4 feet 12 in B) 6 yds 3 ft = 18 feet 1yd

$200 Question from Conversions What are the following conversions to meters? A) 400cm = ? m B) 3km = ? m

$200 Answer from Conversions Conversions 1m = 100cm 1km = 100m A)400cm 1m = 4 m 100cm B) 3km 100m = 300m 1km

$300 Question from Conversions Jack puts rope around the outside of a window in his tree house. He needs 16feet of rope total. He has 6 yards of rope. Does Jack have enough rope to go around the outside of the window? Explain your answer.

$300 Answer from Conversions Conversions 1 yard = 3 feet 6 yds 3 ft = 18 feet 1 yd Needs 16 ft < 18ft 18 – 16 = 2 ft extra! Yes, Jack has enough rope. He even has 2 feet extra of rope.

$400 Question from Conversions What is the area in square feet? 36 inches 4 feet 5 feet

$400 Answer from Conversions Conversions 1 foot = 12 inches Area a of triangle = bxh 2 36 inches 4 feet 5 feet 1.Convert before 36in 1 foot = 3 feet 12 in a = 4ft x 3 ft = 6 sq. ft 2 2. Convert after a = 36 x 4 = 144 = 72 in x ft in x ft 1 ft = 6 sq. ft 12 in

$500 Question from Conversions Dominic is putting a fence around his chicken coop. The coop is 6 feet wide and 9 feet long. The fencing is sold by the yard. How many yards of fencing would Dominic need?

$500 Answer from Conversions Fencing = Perimeter p = b +h + b + h 1 yard = 3 feet 9 feet 6 feet 1.Convert at the end p = 9ft. + 6ft. + 9 ft. + 6ft. p = 30 ft. (1 yd = 3 ft) p = 30 ft 1 yd = 10 yds. 3 ft 2. Convert at the beginning 9 ft 1 yd = 3 yds 6ft 1 yd = 2 yds. 3ft p = 3 yds. + 2 yds. + 3 yds. +2yds. p = 10 yds.

Final Jeopardy In the middle of Tiana’s rectangular lawn she has a triangular patio. She is redoing the lawn and needs to know how much grass she would need just to cover the lawn (not the patio). How much grass would she need? 4 ft 5ft 6ft 10ft 6ft

Final Jeopardy Answer 4 ft 5ft 6ft 10ft 6ft Area of Green only. 1.Find area of rectangle and triangle. 2. Subtract triangle from rectangle. a of rectangle = b x h a = 10ft x 6 ft a = 60 sq. ft a of triangle = b x h 2 a = 4ft x 5ft / 2 a = 20 sq. ft / 2 a = 10 sq. ft Area of grass only = 60 sq. ft – 10 sq. ft = 50 sq. ft.