Name
Area of Parallelograms
and Triangles
P
to.to
Find the area of each parallelogram or triangle.
2.
7.7 cm
5.8 cm
3.
triangle
4.
triangle
5.
parallelogram
b: 18 in.
b: 11.2 yd
b:ztft
h:2t
h:4yd
n:
in.
s[ft
6. Number sense A parailerogram
has a base of 4 m and a height
of 3 m. Find the area of the parailerogram in square
centimeters.
Test Prep
7. which shows the correct formula for finding the area
A. bh : 1t7n
B. (+)h : A
of a triangle?
c.2bh:A
D.
bh(h:A
8. Writing in Math
Tony says that he
does not have enough information to
find the area of the parallelogram to the
right. ls he correct? Explain.
14.5 cm
Use with Lesson
10-10.
125
Name
Area of Parallelograms and
Triangles
Finding the area of a parallelogram:
Find the area of the parallelogram below.
m
/i
isin
/
R to.10
I
Finding the area of a triangle:
Find the area of the triangle below.
/
8 in.
Use the formula
A:
bh.
A:8x5
A:40in2
The area of the parallelogram is 40 in2.
: $On.
n:*x10x12
Use the formula
n
A:5X12
A:60
The area of the triangle
:
60 cmz.
Find the area of each parallelogram or triangle.
1.
100 fr
15.6 m
50ft
@
co
i
.e
6
o
=
uJ
c
I
G
(Io
o
3.
triangle:
b
:
3ft, h
4. parallelogram: b :
:
:
g ft
1g m,
:
h:
13 m
5.
triangle:
6'
Number sense_ A parailerogram has a base of g
in. and
a height 14 in. What is its ar6a?
b
7 fl, h
7 ft
Use with Lesson
i0-10.
125
Name
Area of Parallelo grams
and Triangles
PS
to-to
Quilts TraditionarAmerican quirt designs often
incrude triangres and
parallelograms.
Balkan Puzzle
paratelograms in the Balkan puzzrequirt
are ar the
same size. lf the base of each is
2 in. and the n"ightl.
1 in., what woutd be the total
area ot tf," 4 p;;dfi;gr"rrf
1. The
2. suppose 1 of the triangurar pieces
of the Barkan puzzre
quilt has a height of 5 cm and a
base of 4 cm.what is the
area of this triangular piece?
Test
3'
rime
Mr. peterson is writing a math test
for his sixth_grade crass.
Mr. peterson has drawn 2 parailerograms.
one parailerogram has
a height of 5 cm and a base of 5
cm, and the oih"' has a height
and a base of 3 cm. Which
nur"ll"l"grl'#n". the greater
:I"t";r
4.
to
sd
i
E
6
o
l
!
Mr. Peterson draws a triangle with
an area of 4O cm2.
lf the base is 20 cm, what i-. tt.,"
height?
5. writing in Math rf a triangre and a parailetogram
have the same
height measurement and ihe same'base,"irri"rent,
what is
the relationship between their aieas?
Explain.
UJ
o
a
G
o
(L
@
Use with Lesson
io-l0. 125
Name
Translations in Space
E 10.10
VISUAL THINKING
IEEF
taoaooaaaaacao
oaaaaaaaaaoraa
OaOtaOaOaaOaaa
aaaaa.J...alaa.
DCHG
ooaaaaaoaaaaoo
aa.oaoaaaoaooo
aaaaaaOaOaaaaa
IK
Draw the square ABCD.
Draw the diagonal BD.
Redraw the two triangles together to form a parallelogram EFGH
where BD EH and BC GH.
:
:
Put the triangles together to form one triangle, lJK, where BD
Distance AB
:3
:
tJ.
units.
1. What is the area of the square, the parallelogram, triangle lJK,
and triangle ABD?
2. lf AB :4
units, what is the area of the square, the parallelogram,
triangle lJK, and triangle ABD?
@
o
c
c
o
+:
6
fr
6
3. ll AB : n units, what happens
to the area of triangle ABD
or BCD?
9.
(!
o
(I
o
Use with Lesson
10-10.
125
Area of Parallelograms
and Triangles
P
to.to
Area of Parallelograms and
Triangles
R
to.to
Find the area of each parallelogram oriliangte.
1-
Finding the area of a
//
/i",,
l4
ft
b:18
in.
L,ii,",
Finding the area of a triangte:
betow
Find the area of the ilianqle below
,1 )
60.2 ft2
triangle
parallelografit
Find the area of the paralletogram
22.33 cm2
4.
5.
triangle
b:11.2yd
b:7+ft
4yd
h:s+ft
ht
22.4vd2
Use the formulaA = bh.
parallelogram
A=8x5
A = 40in2
The area of the parauelogram is 40 in2.
396 ft2
Use the formutaA = +bh.
A=t/.10\12
A=5/.12
6. Nlmber Sense
A parallelogram has a base of 4 m and a hejght
of 3 m. Find ihe area of the paralielogram in square centimetffi.
A=60
(400X300 = 120.000 cm2
The area ofthe triangle
7.
Which shows the
t.
= 60 cm2
Find the area of each parallelogram or trianole
Test Prep
nn =
(Se
corect formula for findjng the area of a triangte?
B. e)h c.2bh :
A
A
ObhC,)
2.N
:
A
8. Wriiing in Math
Tony says that he
does not have enough information to
find the area of the paraltetogram to the
right. ls he corect? Exptain
15.6 m
5,000 ft2
Yes; Sample answer: He cannot
calculate the area of the parallelogram
because the height is not shown.
65.52 m2
13.5 ft2
3. trianale:b = 3ft.h = gft
4. parallelogram:b
-
5. triangle:b = 7ft,t'
18m,h
-
-
234m2
24.5t1r
13 m
7ft
6. Number Sense
A parallelogram has a base of
a height 14 in. What is its area?
I
in. and
u""*rnr""*nroro 125
Name
126 in.2
use with Lesson 1o
10. 1 25
Name
Translations in Space
E
to.to
VISUAL THIf,KING
Area of Parallelograms
and Triangles
PS tO-tO
Quilts Thditional American quilt designs often include ?iangles and
parallelograms.
N-A-Z
l,,ffi"1
KP
'/\r\
1. The parallelograms in the Balkan puzzle quilt are all the
Draw the square ABCD.
same sire. lf rhe base ol each is 2 in. and the neioht rs
1 rn., what woutd be rhe rota, area ot tne 4 parafleioq.;ms?
Draw the diagonal 8D.
2.
Redraw the two tiangles together to form a parallelogram FFGH
where AO = EH and BC : cH.
(9
Test
1.
E
(s
What is the area of the square, the parallelogram, fiangle
and triangleABD?
o
a
(6
o
@
-
iriangle
4.
4 units, what is the area of the square, the parallelogram,
UK and triangleABD?
c
lfAB :,
ot BCD?
*
units, what happens to the area
Peterson draws a fiangle with an area of 40 cm2.
lf the base is 20 cm, what is the heighi?
A,4r
4cm
5. Writing in Matb
16. 16. 16. 8 sq. units
E
0 cm2
The 5 cm by 5 cm parallelogram
f
2. lf AB
1
Time Mr Petereon is writing a math test for his sixih-grade class.
Pelerson has drawn 2 parailelograms. One paraltelogram has
a height of 5 cm and a base oi 5 cm, and the other has f, neiont
of I cm and a b4e ot 3 cm. Wh;ch paral etogram has the gr;ter
area2
/JK
9. 9.9.4.5 sq. units
o
E
ul
c
the
O
3. Mr
DistanceAB:3 units.
O
s
i
Suppose 1 of the tiangular pieces of ihe Batkan puzzte
and a base or 4 cm. whai is
:,U:iirii:i:1ff:,:;m
Put the fiangles together to form one triangle, /JK, wherc BD = tJ.
^ .
U_ln-
lf a tiangle and a parallelogram have the same
height measurement and the same base m€asurement, what is
the relationship between their areas? Explain.
Sample answer: The area of the
triangle will be one half the area of the
paralleloqram.
ofiliangleABD
usewtressonro
ro. 125
u.u*tr"""onroro 125
aoE