Area of Plane Shapes

Description: http://www.mathsisfun.com/images/area/triangle2.gif

Triangle  مثلث
Area = ½ b × h
b = base
h = vertical height

 

Description: http://www.mathsisfun.com/images/area/squar2.gif

Square  مربع
Area = a2
a = length of side

Description: http://www.mathsisfun.com/images/area/rectangle.gif

Rectangle  مستطيل
Area = w × h
w = width
h = height

 

Description: http://www.mathsisfun.com/images/area/parallel.gif

Parallelogram  متوازي أضلاع
Area = b × h
b = base
h = vertical height

Description: http://www.mathsisfun.com/images/area/trap.gif

Trapezoid (US)  شبه منحرف
Trapezium (UK)               
Area = ½ (a+b) × h
h = vertical height

 

Description: http://www.mathsisfun.com/images/area/circle.gif

Circle  دائرة
Area = π r2
Circumference=2
π r
r = radius

Description: http://www.mathsisfun.com/images/area/ellipse.gif

Ellipse  بيضاوي
Area = π a b

 

Description: http://www.mathsisfun.com/images/area/sector.gif

Sector  قطاع
Area = ½ r2 θ
r = radius
θ = angle in radians

Here is an example:

Example: What is the area of this rectangle?

The formula is:

Area = w × h
w = width
h = height

w = 5 cm and h = 3 cm, so:

Area = 5 × 3 = 15 cm2

 

 

 

 

Find the area of the following shapes أوجد مساحة الأشكال التالية  

1- What is the area of the triangle? أوجد مساحة المثلث

h = 6 cm, b = 5 cm

 

A

8.5                                   

B

15

C

17

D

30

2- What is the area of the square? أوجد مساحة المربع

a = 5 m

 

A

12.5

B

20

C

25

D

52

3- What is the area of the rectangle? أوجد مساحة المستطيل

h = 3 mm, w = 7 mm

 

A

10.5

B

14

C

20

D

21

4- What is the area of the parallelogram? أوجد مساحة متوازي الأضلاع

h = 5 cm, b = 8 cm

 

A

40

B

30

C

26

D

20

 

5- What is the area of the trapezoid? أوجد مساحة شبه المنحرف

a = 3.5 m, h = 4 m, b =7.5 m

 

A

20

B

22

C

30

D

44

6- What is the area of the circle? أوجد مساحة الدائرة

 

r = 14 mm, π = 22/7

A

88

B

308

C

196

D

616

7- What is the area of the ellipse? أوجد مساحة الشكل البيضاوي

 

a = 4 cm, b = 7 cm, π = 22/7

A

34.57

B

77

C

88

D

176

8- What is the area of the sector? أوجد مساحة القطاع

θ = 2.5 rad, r = 4 m

 

A

20

B

16

C

12.5

D

10