1 of 9
Topic: Area of rectangle and Square
Area is measured in square units. On a
centimetre grid each square measures 1 cm by
1 cm. Each square has an area of one square
centimetre, 1 cm².
Count the squares inside the shape. The area
1. HOW TO CALCULATE THE AREA OF
of the shape is 12 cm².
THE SQUARE
Solution
To calculate the area of a square:
Multiply the length of one side by itself, this
means the length is squared. For a whole
number length, the value of the area is
a square number.
Example 1.1
Explanation
One centimetre is 10 millimetres. A square
measuring 1 cm × 1 cm has an area of 1 cm².
The same square measures 10 mm × 10 mm
and has an area of 100 mm². 1 cm² is the
Area is measured in square units. On a same area as 100 mm². To convert cm² to
centimetre grid each square measures 1 cm by mm² multiply by 100. To convert mm² to cm²
1 cm. Each square has an area of one square divide by 100.
centimetre, 1 cm².
Example 1.2
Find the area of a square with side-length 1٠5
metres.
To calculate the area of a square:
, 2 of 9
Example 1.5
The area of the square is 100 m². Find the
length of one side of the square.
Multiply the length of one side by itself, this
means the length is squared. For a whole
number length, the value of the area is
a square number.
An integer value for the length of one side of a
square will result in an integer value for the
area of a square, which is a square number. A
square number is the result of multiplying an
integer by itself and can be represented by a
square on a grid.
Example 1.3
The area of the square is the result of squaring
one side of the square. The inverse operation is
to square root the area. √100 = 10. The side-
length of the square is 10 m.
Example 1.4
Find the area of a square with side-length 7
cm.
Solution
When a square has a whole number side-
length, the numerical value of its area is a
square number. An integer multiplied by itself
The area of the square is the side-length gives a square number.
squared, 7². The side-length is multiplied by
5 squared, 5² = 5 × 5, is 25. 25 is a
itself, 7 × 7. The area of the square is 49 cm².
square number.
To calculate the side length of a square: 8 squared, 8² = 8 × 8, is 64. 64 is a
Find the square root of the area of the square. square number.
Example 1.6
Topic: Area of rectangle and Square
Area is measured in square units. On a
centimetre grid each square measures 1 cm by
1 cm. Each square has an area of one square
centimetre, 1 cm².
Count the squares inside the shape. The area
1. HOW TO CALCULATE THE AREA OF
of the shape is 12 cm².
THE SQUARE
Solution
To calculate the area of a square:
Multiply the length of one side by itself, this
means the length is squared. For a whole
number length, the value of the area is
a square number.
Example 1.1
Explanation
One centimetre is 10 millimetres. A square
measuring 1 cm × 1 cm has an area of 1 cm².
The same square measures 10 mm × 10 mm
and has an area of 100 mm². 1 cm² is the
Area is measured in square units. On a same area as 100 mm². To convert cm² to
centimetre grid each square measures 1 cm by mm² multiply by 100. To convert mm² to cm²
1 cm. Each square has an area of one square divide by 100.
centimetre, 1 cm².
Example 1.2
Find the area of a square with side-length 1٠5
metres.
To calculate the area of a square:
, 2 of 9
Example 1.5
The area of the square is 100 m². Find the
length of one side of the square.
Multiply the length of one side by itself, this
means the length is squared. For a whole
number length, the value of the area is
a square number.
An integer value for the length of one side of a
square will result in an integer value for the
area of a square, which is a square number. A
square number is the result of multiplying an
integer by itself and can be represented by a
square on a grid.
Example 1.3
The area of the square is the result of squaring
one side of the square. The inverse operation is
to square root the area. √100 = 10. The side-
length of the square is 10 m.
Example 1.4
Find the area of a square with side-length 7
cm.
Solution
When a square has a whole number side-
length, the numerical value of its area is a
square number. An integer multiplied by itself
The area of the square is the side-length gives a square number.
squared, 7². The side-length is multiplied by
5 squared, 5² = 5 × 5, is 25. 25 is a
itself, 7 × 7. The area of the square is 49 cm².
square number.
To calculate the side length of a square: 8 squared, 8² = 8 × 8, is 64. 64 is a
Find the square root of the area of the square. square number.
Example 1.6
