Question

the perimeter of a rectangular swimming pool is 184m. its length is 2m more then twice its breadth . what are the breadth of the pool ?​

Answer 1

Required Answer :

Breadth of the rectangular swimming pool = 30 m

Given :

• Perimeter of the rectangular swimming pool = 184 m
• The length of the rectangular swimming pool is 2 m more than twice its breadth

To find :

• Breadth of the pool

Solution :

Let :-

• Breadth of the rectangular swimming pool = x metre
• Length of the rectangular swimming pool = 2(Breadth of the pool) + 2 metre = 2x + 2 metre

Using formula,

• Perimeter of the rectangle = 2(l + b)

where,

• l = length
• b = breadth

Substituting the given values :-

⇒ 184 = 2(2x + 2 + x)

⇒ 184 = 2(3x + 2)

⇒ 184/2 = 3x + 2

⇒ 92 = 3x + 2

⇒ 92 - 2 = 3x

⇒ 90 = 3x

⇒ 90/3 = x

⇒ 30 = x

Substituting the value of 'x' in the breadth of rectangular swimming pool which we've assumed :-

⇒ Breadth = x = 30 m

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Some related formulae :-

• Perimeter of reactangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Total surface Area of cuboid = 2(lb + bh + hl)
• Total surface area of cube = 6 × side²