Question

the perimeter of a rectangular swimming pool is 154 metre its length is 5 more than twice its breadth what are the length and breath of pool​

Answer 1

As per the data given in the question,

We have to determine the value of dimension of rectangular pool.

As per question,

It is given that,

The perimeter of a rectangular swimming pool is 154 metre.

Length is 5 more than twice its breadth

So, let the breadth of the pool $=x \:m$

So, value of length will be $=(2x+5)\:m$

As we know that,

perimeter of rectangle will be $=2(l+b)$

So, putting the value given in the question in above formula,

We will get,

$154 = 2[(x)+(2x+5)]\\=>\frac{154}{2} =x+2x+5\\=>3x +5 = 77\\=>3x = 77-5\\=>3x = 72\\=>x = \frac{72}{3} = 24\:m$

Hence, value of breadth will be 24 m.

So, value of length will be $=(24\times 2+5) = 48+5 = 53\:m$

Answer 2

Answer:

length = 53 and breath = 24

Step-by-step explanation:

perimeter = 154 = l+l+b+b,

where l = 2b+5

so 2b+5+2b+5+b+b = 154

6b + 10 = 154

b = 154 - 10/6

b = 24

l = 2b + 5

= 48 + 5 = 53

therefore, l = 53 and b = 24