Question

Q1.The perimeter of a
rectangular swimming pool is 154m. Its length is 2m more than twice its
breadth.What are the length and the breadth of the pool?

Answer 1

☆ Solution ☆

Given :-

• The perimeter of a rectangular swimming pool is 154m

• Its length is 2m more than twice its breadth.

To Find :-

• The length and the breadth of the pool.

Step-by-Step-Explaination

Let the breadth be x

Length = 2+2x

As we know that :-

perimeter of a rectangle = 2(l+b)

= 2(l+b ) = 154

= 2(2+2x+x )= 154

= 2+3x= 77

= 3x =75

= x = 25

Length =25

Breadth = 52

Hence,

Length = 25m and Breadth = 52m.

Answer 2

Given

• The perimeter of a rectangular swimming pool is 154m.
• Its length is 2m more than twice its breadth.

⠀

To find

• The length and the breadth of the pool.

⠀

Solution

• Let the breadth of the rectangular swimming pool be x.

⠀

★ Then,

→ Breadth = x

→ Length = 2 + 2x

⠀

★ We know that

$\boxed{\tt{\bigstar{Perimeter\: of\: rectangle = 2(l + b){\bigstar}}}}$

⠀

★ Putting the values

$\tt:\implies\: \: \: \: \: \: \: \: {2(l + b) = 154}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2[(2 + 2x) + x] = 154}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {2[2 + 3x] = 154}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {4 + 6x = 154}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {6x = 154 - 4}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {6x = 150}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \cancel{\dfrac{150}{6}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = 25}$

⠀

★ Therefore,

→ Breadth = 25m

⠀

→ Length = 2 + 2(25)

→ Length = 2 + 50

→ Length = 52m

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