AREA OF A SQUARE

AREA OF A SQUARE

Area of a square is the product of its two sides.

Illustration:

Formula for area of a square:

A = side x side

or

A = s²

^Where:

^{A = Area}

^{side(s) = side}

^Problem:

^{1. Find the area of a square whose side is 5 meters.}

^Given:

^{s = 5 m}

^{Required: Area}

^Solution: 

A = s²

A = (5m)²

A = 25 m² 

^{2. A rectangular bin has a base measured 3 feet on one side. What is the area of the base of a rectangular bin?}

^Given:

^{s = 3 ft}

^{Required: Area}

^Solution: 

A = s²

A = (3 ft)²

A = 9 ft² 

^{3. The diagonal of a square measures 36 feet. Find the area of this square.}

^{In this case the diagonal of a square is 36. Applying the Phytagorean theorem, we can say that one side of the square is 6 feet. Hence.}

^Given:

^{s = 6 ft}

^{Required: Area}

^Solution: 

A = s²

A = (6 ft)²

A = 36 ft^{2 ,} 

^{Please leave a comment on the comment box below. Thank you.}

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PERIMETER OF A SQUARE

PERIMETER OF A SQUARE

Perimeter - the sum of all sides.

               - measure of distance around a closed plane figure.

Illustration:

Formula for the perimeter of a square:

P = S₁ + S₂ + S₃  + S_{4 =}  4S

where:

P = perimeter

s = side 

(note : S₁ = S₂ = S₃  = S₄₎

Problem:

1. Find the total perimeter of a frame in square shape having measure 10 inches in one side.

Given:

s = 10 in.

Required: Perimeter

Solution:

P = S₁ + S₂ + S₃  + S_{4 =}  4S

P = 10 in. + 10 in. + 10 in. + 10 in. = 4 * 10 in.

   = 40 in. ; final answer

1. The square -shaped fence has one side measures 100 feet. what is its perimeter?

Given:

s = 100 ft.

Required: Perimeter

Solution:

P = S₁ + S₂ + S₃  + S_{4 =}  4S

P = 100 ft. + 100 ft. + 100 ft. + 100 ft. = 4 * 100 ft..

   = 400 ft. ; final answer

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SQUARE

THE AREA OF A SQUARE:

A = a * a 

Where:

A = area

a = side of a square

Example:

1. Find the area of a square whose side measures 4 meters.

Given:

a = 4 m

Solution:

A = a * a

    = (4m)*(4m)

    = 16 sq. m. final answer

2. A table in square shape has 3 feet as measure on one side. Find the area of the table.

Given:

a = 3 ft.

Solution:

A = a * a

   = 3 ft. * 3ft

   = 9 ft. square; final answer

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