Question

10. The area of a square whose perimeter
is 120 cm is given by​

Answer 1

Step-by-step explanation:

Given:-

Perimeter of a square is 120 cm

To find:-

Area of the given square whose Perimeter is

120 cm?

Solution:-

Perimeter of a square = 120 cm

We know that

Perimeter of a square = 4× length of the side

=>4× length of the side = 120 cm

=>Length of the side

= 120/4

= 30 cm

Length of the side = 30 cm

Now ,

Area of a square = side × side sq.units

=>Area of the square = 30×30 sq.cm

=>900 sq.cm

Area of the square = 900 sq.cm

(or)

If Perimeter is "P" units then the area of a square is A then

A= (P/4)^2 sq.units

we have P = 120 cm

A= (120/4)^2

=>A=30^2

=>A=30×30

=>A= 900 sq.cm

Answer:-

The area of the given square whose Perimeter is 120 cm is 900 sq.cm

Used formula:-

• Perimeter of a square = 4× length of the side units
• Area of a square = side × side sq.units

Answer 2

Answer:

Simple

Perimeter = 4(side)^2

120 = 4(side)

120/4 = side

30cm = side

Area = side × side

= 30 × 30 cm^2

${900} {cm}^{2}$