1.2 Composite Figures
Unit 1: Measurement Relationships and Optimization
Q: What is the area of a triangle?
Q: What is the area of a circle?
A: Area = (Base x Height)2
A: Area = r2
Q: The longest side of a right
triangle is called the…
A: Hypotenuse
Q: Is a square a rectangle?
A: Yes. It is a special rectangle
where the side lengths are equal.
Q: What were the purpose of rope
stretchers?
A: To create boundaries of farm
land in Egypt so the Pharaohs
Q: What is the volume of a prism?
A: Volume = Area of Base x Height
Q: What is the perimeter of a 2dimensional object?
Q: The sides of a prism are made
up of what shapes?
A: The distance around an object
A: Rectangles
Q: A 3-dimensional shape where
the sides are triangular and meet
at one point is a…
Q: A 3-D shape with two congruent
circles as the base and the top is
called a…
A: Pyramid
A: Cylinder
Q: What shape has an area of:
Q: What shape has a volume of:
A = s2
V = r2h
A: A Square
A: A Cylinder
Q: What shape has a perimeter of
P = 2L + 2W or
Q: How many sides does a hexagon
have?
P=L+W+L+W
A: 6
A: A Rectangle
Q: A prism with a triangle base is
called a…
A: Triangular Base Prism
Q: If a triangle had three sides of
lengths 5, 6, 7 does it form a right
triangle?
A: Yes
Q: If a triangle had three sides of
lengths 3, 4, 5 does it form a right
triangle?
A: Yes
Q: Are all rectangles squares?
A: No
1.2 Composite Figures
Unit 1: Measurement Relationships and Optimization
Introduction: The Track Problem
Last year Cardinal Ambrozic C.S.S. had to sod the soccer field in time for soccer season.
Sod is sold in rolls at a cost of $13.50/m2. How much did it cost to sod the field?
50 m
30 m
You want to run 2 km every day. Determine how many times you have to go around the
track.
Problem 1
Problem 2
Extra Problems
1.2 Composite Figures
Unit 1: Measurement Relationships and Optimization
Introduction: The Track Problem
Last year Cardinal Ambrozic C.S.S. had to sod the soccer field in time for soccer season.
Sod is sold in rolls at a cost of $13.50/m2. How much did it cost to sod the field?
50 m
30 m
A = A1 + A2 + A3
Cost = 2206.5(13.5)
=$29787.75
You want to run 2 km every day. Determine how many times you have to go around the
track.
P = 2 r +50
=2 (15) + 50 + 50
=194.2m
One lap is 194.2 m. To determine how many laps it takes to run 2 km or 2000m we find the quotient of both
numbers:
Number of laps = 2000/194.2 = 10.3 laps
Problem 1
Problem 2
Extra Problems
=30000 – 706.86 – 706.86
=28586.28 cm2
A figure obtained from combining two different
figures is called a composite figure
-can be made up of shapes within shapes
-is an enclosed object
-must involve 2 or more different shapes