Question

the perimeter of a rectangular swimming pool is 154m. Its lenght is 4m more than twice its breadth. what are the length and the breadth of the pool​

Answer 1

Answer:

55m & 23m

Step-by-step explanation:

Given,

• Perimeter = 154m

To find,

• Length and the breadth

Let x be the measure of the breadth.

According to the question,

• Length = 2(x + 4) = 2x + 8

Now,

2(length + breadth) = Perimeter of the rectangle

2 {(2x+8) + x} = 154m

⇒2(2x + 8 + x) = 154m

⇒2(3x + 8) = 154m

⇒6x + 16 = 154m

⇒6x = 154m - 16

⇒x = 138/6

⇒x = 23m

.°. x = 23m

Finding out length and breadth :

L = 2x+8 → (2×23) + 8 → 46 + 8 → 54

B = x → 23

Hence, the length and breadth is 54m and 23m respectively.

Answer 2

Answer:

$\red\bigstar$ Length(l) of the rectangle = 52.6m.

$\red\bigstar$ Breadth(b) of the rectangle = 24.3m.

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           ANSWER              

GIVEN:-

1) Perimeter of a rectangular swimming pool = 154m.

2)Length is 4m more than twice its breadth.

TO FIND :-

The length and the breadth of the pool​.

SOLUTION

Let us assume that the breadth(b) of the rectangle = 'x' m.

Then ,

Length(l) of the rectangle = 2x + 4

Perimeter of a rectangle = 2(l+b)

Here,

Perimeter = 154m.

$\implies$ 2(l+b) = 154

Also,

Breadth (b) = x

Length (l) = 2x + 4

$\implies$ 2(2x + 4 +x ) = 154

$\implies$ 2(3x + 4) = 154

$\implies$ 6x + 8 = 154

$\implies$ 6x = 154 - 8

$\implies$ 6x = 146

$\sf \implies x = \dfrac{146}{6}$

$\implies$ x = 24.3.

Breadth (b) = 24.3m.

Length(l) = (2x + 4) = 2 × 24.3 + 4 = 52.6m.