High School: Coordinate Geometry
LESSON 5: PERIMETER AND AREA
EXERCISES
EXERCISES
1.
Determine the perimeter of the given figure.
y
A
5
4
3
2
1
–5 –4 –3 –22 –11
–22
–3
3
B
–4
–5
D
1 2 3 4 5 6 7 8 x
C
A 12 units
B 24 units
C 35 units
D 74 units
2. Determine the perimeter of the given figure.
y
E
5
4
3
2
1
–8 –7 –66 –55 –44 –33 –22 –11
–22
H
–3
–4
–5
F
1 2 3 4 5 6 7 8 x
G
A 16 units
B 22 units
C 32 units
D 55 units2
Copyright © 2015 Pearson Education, Inc.
21
High School: Coordinate Geometry
LESSON 5: PERIMETER AND AREA
3.
EXERCISES
Determine the perimeter of this isosceles trapezoid.
y
R
4
3
2
1
–3 –2 –11
–2
–3
–4
T
–5
A
P
1 2 3 4 5 6 7 x
Z
197 units
B 12 + 2 53 units
C 30 units
D 42 units
4. Determine the perimeter of the given figure.
y
8
T
6
4
R
–6
–4
S
2
2 x
–2
–2
units
Copyright © 2015 Pearson Education, Inc.
22
High School: Coordinate Geometry
LESSON 5: PERIMETER AND AREA
5.
EXERCISES
Imagine you have a square ABCD. You have the coordinates of two adjacent vertices:
A(0, 2) and B(4, 3).
What is the perimeter of this square? Show your work.
6. Determine the area of the given figure.
y
A
3
2
1
D
1 2 3 4 5 6 7 8 x
–7 –6 –55 –44 –33 –22 –11
–22
3
–3
B
–4
–5
C
A 14 units2
B 28 units2
C 36 units2
D 106 units
7.
Determine the area of the given figure.
y
4
3
2
1
–7 –6 –5 –4 –3 –2 –11
–22
3
–3
–4
4
5
–5
–66
H
–7
–8
E
F
1 2 3 4 5 6 7 8 x
G
A 40 units2
B 35 units2
C 27 units2
D 24 units2
Copyright © 2015 Pearson Education, Inc.
23
High School: Coordinate Geometry
LESSON 5: PERIMETER AND AREA
EXERCISES
8. Determine the area of this isosceles trapezoid.
y
4
3
L 2
1
–5 –4 –3 –22 –11
–22
3
–3
O
–4
–5
M
1 2 3 4 5 x
N
A 15 units2
B 20 units2
C 35 units2
D 40 units2
9.
Determine the area of the given figure.
y
7
6
5
4
3
2
1
–5 –4 –3 –2 –11
–22
–33
4
–4
I
–5
–6
K
1 2 3 4 5 6 x
J
units2
Copyright © 2015 Pearson Education, Inc.
24
High School: Coordinate Geometry
LESSON 5: PERIMETER AND AREA
ANSWERS
ANSWERS
G.GPE.7
1.
B 24 units
G.GPE.7
2.
C 32 units
G.GPE.7
3.
B
G.GPE.7
4.
12 units
G.GPE.7
5.
The perimeter is 4 17 units .
12 + 2 53 units
The perimeter of a square is the sum of its four sides. All sides are the same length;
therefore, the perimeter is four times the length of one side.
Using the distance formula, you can calculate the length of AB .
AB = (3 − 2 )2 + ( 4 − 0 )2 = 17
The length of one side of this square is
is 4 17 units .
G.GPE.7
6.
C 36 units2
G.GPE.7
7.
A 40 units2
G.GPE.7
8.
B 20 units2
G.GPE.7
9.
31.5 units2
G.GPE.7
10.
a. LMNO is an isosceles trapezoid.
17 units; therefore, the perimeter
y
4
3
L 2
1
–5 –4 –3 –22 –11
–22
O
–3
–4
–5
M
1 2 3 4 5 x
N
b.
Perimeter LMNO = 8 + 2 20 ≈ 16.94 units
c.
Area LMNO = 16 units2
Copyright © 2015 Pearson Education, Inc.
59