Question

Form a formula for the given statement.
The area (A) of a square is equal to the square of the length (s) of its side

Answer 1

Answer:

Hope it will be helpful to you

Step-by-step explanation:

area of a square we will learn how to find the area by counting squares.

To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count the number of squares enclosed by the figure.

We know, that square is a rectangle whose length and breadth are equal. In a square all four sides are equal.

Therefore, area of a square = (side × side) square units = (side)2 square units.

In a square the length is equal to breadth.

Hence, area of a square = side × side

The number of 1 cm squares enclosed = 4

Area = 4 sq cm

4 = 2 × 2

Hence, area = side × side

The unit of sides and the corresponding units of areas as given below:

Unit of Side

Unit of Area

mm

square mm (sq mm) or mm2

cm

square cm (sq cm) or cm2

m

square m (sq m) or m2

km

square km (sq km) or km2

Note: Write finding the area of a given figure, make sure that the sides (length or breadth) are in the same unit of length. If they are given in different units, change them to the same unit.

Area of a Square

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Look at the above figure. You can see that the area of a square having sides 2 cm each is equal to the area of 4 squares of sides 1 cm each = 4 cm2. It can also be expressed as 2 cm × 2 cm = 4 cm2. Area of a square is 2 times of its each side.

Solved examples to find the area of a square when side is given:

1. Find the area of a square of side 8 cm.

Area of a square = length (l) × length (l)

= 8 × 8 sq. cm.

= 64 sq. cm.

2. Find the area of a square of side 11 m.

Area of a square = length × length

= 11 × 11 sq. m.

= 121 sq. m.

3. Find the area of a square of side 49 cm.

Area of a square = length × length

= 49 × 49 sq. cm.

= 2401 sq. cm.

4. Find the area of a square of side 50 m.

Area of a square = length × length

= 50 × 50 sq. m.

= 2500 sq. m.

Questions and Answers on Area of a Square:

1. Find the area of the squares with the given side.

(i) 4 cm

(ii) 2.5 cm

(iii) 8 m

(iv) 90 mm

(v) 13.4 km

Answers:

(i) 16 sq. cm

(ii) 6.25 sq. cm

(iii) 64 sq. m

(iv) 8100 sq. m

(v) 179.56 sq. km