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PS RU P5L11 Area of triangles (2) WS (1) (1)

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PS RU P5L11 Area of triangles (2) WS (1) (1)

PS RU P5L11 Area of triangles (2) WS (1) (1)

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Name RReovckuept !ScMieantche
Tutor
Topic _
_

Area of Triangles [2] (Lesson 11)

Name: __________________________________________________
Tutor: _
Topic:
__A__r_e_a_o_f__T_ri_a_n_g_l_e_s_[_2_]_(_L_e_s_s_o_n_1__1_) ___________________

T_OPIC NAME

Primary 5: Rev Up! Math

Recap:

Area of a triangle is _ × base of triangle × height of triangle

A BC

The base of triangle FBD is

Line FD.

The height that is
D corresponding to its base is
F E Line BE which is

perpendicular to Line FED. It

has the same length as line CD

(breadth of rectangle ACDF.

1 cm C D
1 cm

height

A base B

(a) Area of Triangle ABC is .
(b) Area of Triangle ABD is .

Therefore, we can conclude that triangles with bases and

equal heights have the areas.

1

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

Exercise 1: Finding the area of figures made up of rectangles, squares and
triangles.

1. The figures below show 4 identical rectangles.
Which two of the shaded triangles have the same area?

A B CD

Ans: Triangles and .

2. Find the area of triangle ABC as shown below.
C
2 cm

A B
2 cm

Ans: 2

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

3. In the figure, ABCDE is made up of square ABDE and triangle BCD.
ED = DC = 6 cm. Find the area of the figure.
AB

6 cm
ED C

Ans:

4. ABCE is a rectangle 14 cm by 7 cm. ED = 4 cm
Find the area of the shaded region ABDE.

A 14 cm B

7 cm

E 4 cm D C

Ans: 3

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

5. ABCD is a rectangle. EC = 3cm.
a) What is the area of triangle BDE?
b) What is the area of the unshaded region?

A 11 cm D

6 cm

B E 3cm C

Ans: a)
b)

6. In the figure, BD = 12 m. Find the area of figure ABCD.
9m

12 m 7m

Ans: 4

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

7. The figure is made up of a triangle and a square.
The perimeter of the figure is 28 cm.
Find the area of the triangle.

5 cm 5 cm
4cm

Ans:

8.. Find the area of the unshaded part of the figure shown below.

7 cm

20 cm

30 cm

Ans: 5

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

*9. Find the area of the shaded triangle.
8 cm

Ans:

*10. The figure, ABFG and CDEF are squares. AEF is a triangle.
GF = 28 cm and FE = 20 cm.
a) Find the area of triangle AEF.
b) Find the area of the shaded region.
AB
CD

G FE

28 cm 20 cm

Ans: a) 6
b)

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Mini Test Primary 5: Rev Up! Math

1) Find the area of triangle ABD. A

7 cm

9 cm

D B 6 cm C
8 cm Ans:

2) In the figure PQRST, QT = 6 cm, QS = 8 cm and TS = 10 cm. R
Find the area of rectangle PRST.

Q 8 cm S
P
6 cm
10 cm

T C
Ans: 8 cm
D
3) In the figure, ACDE is a rectangle of length 22 cm by 8 cm.
AF = FE and AB = BC, Find the shaded area. 7

AB

=
F

=
E 22 cm

Ans:

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.

Primary 5: Rev Up! Math

Extension

1) ABCD is a rectangle. AE = ED and DF = FC.
What is the area of the shaded triangle?

A 18 cm B

=
E 16 cm

=

DFC

Ans:

2) In the figure, ABFG and CDEF are squares and BDG is a triangle. GD is a straight
line. GF = 16 cm and FE = 21 cm. Find the area of the shaded triangle BDG.
CD

AB

GF E
16 cm
21 cm

Ans: 8

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.


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