Calculating Areas and Perimeters of Squares

Calculating Areas and Perimeters of Squares

Perimeter of a square: P = 4s, where s is the length of one of its sides

A square has a perimeter of 28cm. What is its area?

Solution:

P = 4s

28 = 4s

s = 7cm

__A = s^2

A = 7^2

A = 49cm^2

Requested by: Anonymous

Find the perimeter of a square with a side length of 5cm.

Solution:

P = 4s

P = 4(5)

P = 20cm

Requested by: Anonymous

Find the area of a square with a side length of 8cm.

Solution:

A = s^2

A = 8^2

A = 64cm^2

Requested by: Arslan

Find the area and perimeter of a square with a side length of 6 cm.

Solution:

Area = s^2 = 6 cm * 6 cm = 36 cm^2

Perimeter = 4s = 4 * 6 cm = 24 cm

Requested by: Ritaaj

Find the area of a square with perimeter 32 cm.

Solution:

Perimeter = 4s, where s is the side length of the square.

32 cm = 4s

s = 8 cm

Therefore, the area of the square is:

Area = s^2 = 8 cm * 8 cm = 64 cm^2

Requested by: Ritaaj

Find the area and perimeter of a square with a diagonal length of 10 cm.

Solution:

To find the side length of the square, we can use the Pythagorean theorem:

a^2 + b^2 = c^2, where a and b are the length of the two sides and c is the length of the hypotenuse (the diagonal of the square).

In a square, a = b, so we have:

2a^2 = c^2

a^2 = (1/2)c^2

a = (1/2)c (since a must be positive and smaller than c)

Therefore, the side length of the square is:

s = a = (1/2)c = (1/2) * 10 cm = 5 cm

Area = s^2 = 5 cm * 5 cm = 25 cm^2

Perimeter = 4s = 4 * 5 cm = 20 cm

Requested by: Ritaaj

A square has a perimeter of 28cm. What is the length of each side?

Solution:

Perimeter of a square = 4s,

where s is the length of each side.

Given, perimeter = 28cm

28 = 4s

s = 7cm

Requested by: Mustakeem

A square has a diagonal of 6√2 cm. What is the area of the square?

Solution:

Area of a square = s^2, where s is the length of each side.

The diagonal of a square is the hypotenuse of a right-angled triangle with sides s and s.

Given, diagonal = 6√2 cm

By Pythagoras theorem, (s^2 + s^2) = (6√2)^2

2s^2 = 72

s^2 = 36

Area = s^2 = 36cm^2

Requested by: Mustakeem

A square has an area of 121m^2. What is the length of each side?

Solution:

Area of a square = s^2, where s is the length of each side.

Given, area = 121m^2

s^2 = 121

s = 11m

Requested by: Faisal

A square has a perimeter of 40mm. What is the area of the square?

Solution:

Perimeter of a square = 4s, where s is the length of each side.

Given, perimeter = 40mm

40 = 4s

s = 10mm

Area = s^2 = 100mm^2

Requested by: Faisal

Find the perimeter of a square with side length 6cm.

Solution:

P = 4s

P = 4(6)

P = 24cm

Requested by: Anonymous

Find the area of a square with side length 8cm.

Solution:

A = s^2

A = 8^2

A = 64cm^2

Requested by: Khalid

A square has a perimeter of 36m. What is the length of each side?

Solution:

P = 4s

36 = 4s

s = 9m

Requested by: Khalid

A square has an area of 49cm^2. What is the length of each side?

Solution:

A = s^2

49 = s^2

s = 7cm

Requested by: Khalid

Find the perimeter of a square with diagonal length 10cm.

Solution:

Let s be the side length of the square.

By Pythagoras theorem: s^2 + s^2 = 10^2

2s^2 = 100

s^2 = 50

s = √50 cm

P = 4s

P = 4(√50)

P = 4(5√2) cm

Requested by: Khalid

A square has an area of 169cm^2. Find the length of its side.

Solution:

A = s^2

169 = s^2

s = √169

s = 13cm

Requested by: Mansoor

A square has a perimeter of 64cm. Find the length of its side.

Solution:

P = 4s

64 = 4s

s = 16cm

Requested by: Mansoor

Find the perimeter of a square with an area of 49cm^2.

Solution:

A = s^2

49 = s^2

s = 7cm

P = 4s

P = 4(7)

P = 28cm

Requested by: Mansoor

A square has a perimeter of 40cm. Find its area.

Solution:

P = 4s

40 = 4s

s = 10cm

A = s^2

A = 10^2

A = 100cm^2

Requested by: Mansoor

Find the perimeter of a square with a diagonal of 10cm.

Solution:

P = 4s

d = √2s

10 = √2s

s = 10/√2

P = 4(10/√2)

P ≈ 28.28cm

Requested by: Haroon

Find the area of a square with a diagonal of 12cm.

Solution:

d = √2s

12 = √2s

s = 12/√2

A = s^2

A = (12/√2)^2

A ≈ 144cm^2

Requested by: Haroon

Find the perimeter of a square with an area of 81cm^2.

Solution:

A = s^2

81 = s^2

s = 9cm

P = 4s

P = 4(9)

P = 36cm

Requested by: Haroon

A square has a diagonal of 10cm. Find its area.

Solution:

d = √2s

10 = √2s

s = 10/√2

A = s^2

A = (10/√2)^2

A ≈ 50cm^2

Requested by: Haroon

Find the perimeter of a square with a side length of 3.5cm.

Solution:

P = 4s

P = 4(3.5)

P = 14cm

Requested by: Bilal

Find the area of a square with a perimeter of 20cm.

Solution:

P = 4s

20 = 4s

s = 5cm

A = s^2

A = 5^2

A = 25cm^2

Requested by: Bilal

A square has an area of 25cm^2. Find its perimeter.

Solution:

A = s^2

25 = s^2

s = 5cm

P = 4s

P = 4(5)

P = 20cm

Requested by: Bilal

A square has a diagonal of 8cm. Find its perimeter.

Solution:

d = √2s

8 = √2s

s = 8/√2

P = 4s

P = 4(8/√2)

P ≈ 22.63cm

Requested by: Bilal