Transcript 11.2 Exercises

Bellwork
Solve for x

A  12 (5  3)6

85  12 (b1  3)5
14
Composition/Decomposition
Activity
Section 11.2
Bellwork
A
male punky fish has 9 stripes, while a female punky fish has 8
stripes. If the number of stripes on all the punky fish in a tank totals
86, what is the ratio of male fish to female fish?
Two triangles of equal area have congruent sides as shown.
Determine the degree measure of x, the smaller of the two vertex
angles.
2xo
xo
14
Areas of Trapezoids,
Rhombuses and Kites
Section 11.2
The Concept


Yesterday we completed a worksheet that discussed
the idea of composition and decomposition of objects
in order to find area
Today we’re going to look at how we can use this to
develop and area formulas for each of the three
objects
Review of shapes
Parallelogram
A  bh
h
b
Triangle
1
A  bh
2
h
b
Trapezoids, Kites & Rhombuses,
oh my!
Let’s review these objects…
 Trapezoid
– Quadrilateral in which only two sides are parallel

Rhombus
– Equilateral parallelogram

Kite
– Quadrilateral with two pair of adjacent congruent sides
Trapezoid
b1
h
b2
A  21 (b1  b2 )h
Trapezoid Example
Find the area of the object below
5
8
15
Trapezoid Example
Find the area of the object below
10
12
12
22
Rhombus
A  21 d1d2
d2
d1
Rhombus example
Find the area of the object below
15
24
Rhombus example
Find the area of the object below
10
10
60o
Kite
A  21 d1d2
d2
d1
Kite Example
Find the area of the object below
23.5
51
Kite Example
Find the area of the object below
20
10 3
Homework
11.2 Exercises
1-12, 14-38 even, 44-46