English, asked by priyanshipratham, 4 months ago

find the perimeter of the square if its side is denoted by 's'​

Answers

Answered by Anonymous
8

Answer:

Perimeter = 4 × side or S.

Hope this helps...

Answered by JasleenMann
7

square is a regular quadrilateral and it has four equal sides and four equal angles (90 degree angle or right angles).

A square quadrilateral with vertices ABCD would be denoted by ABCD. The perimeter of a square (quadrilateral) is given by:

P = 4a

Where a is the length of each side.

Properties of square:

· Diagonals of a square (quadrangle) bisect each other

· Diagonals of a square (quadrangle) bisect its angles.

· Diagonals of a square (quadrangle) are perpendicular.

· Opposite sides of a square (quadrangle) are both parallel and equal.

· All four angles of a square (quadrangle) are equal. (Square is 360/4 = 90 degrees, so every angle of a square (quadrangle) is a right angle.)

· The diagonals of a square (quadrangle) are equal.

Example 1: Find the area and perimeter of the square whose side length is 4 meters.

Solution:

Given that:

a = 4m

Area of square = a2 = 4 × 4 = 16 m2

Perimeter of the square = 4 × 4 = 16 m

Example 2: Find the perimeter of square whose sides are 16 cm in length.

Solution:

Perimeter of the square:

P = 4a

P = 4 × 16 cm

P = 64 cm

Hence, the perimeter of square is 64 cm.

Example 3: What is the perimeter of a square, if the length of each side is 13 ft?

Solution:

The length of each side of a square is 13ft.

The perimeter of a square:

P = 4 × a

P = 4 × 13

P = 52 ft

The perimeter of the square is 52 ft.

Example 4: The perimeter of a square is 24 cm. What would the length of its sides be, if its perimeter is increased by 4 cm?

Solution:

New perimeter of the square = 24 + 4 = 28 cm.

New perimeter of the square = 4 × the new length of a side of the square

Let the new length of a side of the square = l cm

a = 7 cm

Example 5: The area of a square park is 225 m2. Find its perimeter.

Solution:

Given:

Since the area is 225 m2, the length of the sides can easily be determined:

A = s²

225 = s²

s = 15m

Thus, the perimeter of park is:

P = 4 × s.

P = 4 x 15 m.

P = 60 m.

Example 6: Find the perimeter of the square, whose side length is 9.2 meters.

Solution:

Given: Side length (a) = 9.2 meters

Perimeter of the square = 4 × a

= 4 × 9.2

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