ATASHA LEWIS

Subject: Mathematics
Unit: Measurement
Topic: Area of Regular Polygon

What is area?
The area can be defined as the space occupied by a flat shape or the surface of an object.  

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Area is measured in square units such as square centimetres, square feet, square inches, etc.

● The areas of common plane shapes are as follows:

o Rectangle = L × W

o Square = L²

o Parallelogram = Base × Height

o Triangle = ½ × Base × Height

o Trapezium = ½ h(a + b)

o Circle = πr²

Questions
2
1. Calculate the area of a rectangle 6 cm by 3.5 cm. 1. 6 X 3.5= 21CM
2. 16 X W=224
2. The area of a rectangle is 224 cm². If its length is 16 cm, calculate the width. W=224/16
a= L X W WIDTH=14
3. The area of a square plot is 144 m². Calculate the length of a side of the plot.
3. A= LX L
2 144/4
Area of a square 144cm LENGTH=36m
4. An assembly area is in the shape of a 30 m by 30 m square. Part of the area is a

concrete rectangle 25 m by 5m, the rest is grass. Calculate the area of the grass.

SQUARE AREA= L X L RECTANGLE AREA= L X W

2 2 2
AREA OF GRASS = 900m - 625m = 275m

5. Calculate the area of a parallelogram if its base2is 9.2 cm and its height is 6 cm.
9.2cm X 6 cm= 55.2cm
6. In the figure below, the base of the parallelogram is 6 cm and its height is 4 cm.

Calculate the area of the parallelogram. If the length of the other side of the

2
AREA= 6cm X 4 cm= 24cm
parallelogram is 8 cm, calculate the corresponding height, h.
6 + 4 + 8 +h =24
18+h=24
HEIGHT= 24 - 18 =6 cm
7. Calculate the area of the triangle shown in the figure below.

AREA = 1/2 X BASE X HEIGHT

4cm
2
A AREA = 9 X 4 =36cm2
A B AREA= 6 X 2 = 12 cm 2
TOTAL AREA = 36 + 12= 48cm

B
6cm
4cm

A
A AREA = 1/2 X BASE X HEIGHT
5cm 2
0.5 X 5 X 5=12.5 cm

B
B AREA = LENGTH X WIDTH
2
8 X 5 =40 cm

2
TOTAL AREA = 12.5 + 40= 52.5cm
 A 2
A AREA = 5 x 6 =30cm
5cm
B
B AREA = 1/2 X 8 X 5
2
6 cm 8 cm 0.5 X 8 X 5=20cm

2
TOTAL AREA= 30 +20= 50 cm

2
3cm A AREA = 3 X 3=9 cm
A 2
3cm B AREA= 3 x 5 = 15 cm
2
3cm C AREA = 10 X 3 = 30 cm
B
5cm 2
10cm TOTAL AREA = 9 + 15 + 30= 54 cm

3cm C

13in
6 in
B
8in
A

2
104+ 24=128 in

2
A AREA= 8 X 13=104 in
2
B AREA= 1/2 X 8 X 6 =24in
 7m
A
4m 6yd
6 yd
7m B
A
4m B

2 2
14 + 49=63 m 36+ 72 = 108yd
2
2
A AREA= 6 X 6 =36 yd
A AREA= 1/2 X 7 X 4 =14m 2
2 B AREA= 12 X 6 = 72 yd
B AREA = 7 X 7 = 49m