4. At the end of the lesson,
students will be able to:
1. solve problems
involving sides and angles
of polygon;
2. develop a positive
attitude towards
mathematical problem
solving by engaging in
5. 1. Name all the exterior angles.
2. Name all the interior angles.
3. m∠2 = _____
4. m∠7 = _____
5. m∠3 = _____
6. m∠4 = _____
7. m∠8 = _____
8. m∠9 = _____
1
2 3
4
5
6
7
8
9
10
11
12
68°
128°
6. Liza received a
regular hexagonal
jewelry storage from
her mom as a
Christmas gift. If its
perimeter is 120cm,
what is the measure
of each side of the
said storage?
To solve this problem, let
us answer the following
questions:
1. What is our goal?
2. What are we going to
do?
3. What is the measure of
each side of the hexagonal
storage?
Problem:
8. Step 1
Our goal is to solve for the
measure of each side of the
hexagonal storage given the
perimeter of 120cm.
Step 3
Let 𝑃 = perimeter of the regular
hexagon and s=the measure of
each side
𝑃 = 6𝑠
120 𝑐𝑚 = 6𝑠
1/6 (120cm = 6s) 1/6
20 𝑐𝑚 = 𝑠
𝑠 = 20𝑐𝑚
Step 2
The perimeter of a hexagonal
storage is the sum of the measures
of its six sides. And since the
perimeter is given, we need to divide
it to six to find the measure of each
side.
Step 4
Therefore, each side of the regular
hexagonal jewelry storage
measures 20cm.
Polya’s Problem Solving
Techniques
10. Your mom plans to buy
a house and lot for
investment. But she
is undecided if which
of the two offers will
she grab. The first
offer is a 25 m by 10m
house and lot worth
Php10,000,000.00 while
the second offer is a
30 m by 9m house and
11. backyard. How much
fencing she will
need to buy if each
side measures 5m?
A. 30m B. 25m
C. 20 m D. 15m
4. What is the sum
of all the interior
angles of a
nonagon?
A. 1800° B.
1,440°
C. 1,260°
D. 1,080°
5. What is the
Evaluation
1. A square has a
perimeter of 32 m.
What is the area
of the square?
A. 100 m2 B. 81
m2 C. 64 m2
D. 49 m2
2. Russell jogs
at their Barangay
covered court with
dimensions 28m by
