Question

the perimeter of rectangular swimming pool is 154m . It's length 2m more than twice it's breath .what are the length and breath of the pool?
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Answer 1

Answer:

Length = 52 metres.

Breadth = x = 25 metres.

Step-by-step explanation:

Let the breadth be x metres

then length will be 2x + 2 metres

=> Perimeter of a rectangle = 2( l + b)

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

=> 154 = 2(3x + 2)

=> 154/2 = 3x + 2

=> 77 - 2 = 3x

=> 75 = 3x

=> x = 75/3

=> x = 25 metres

Hence,

Length = 2x + 2 = 2(25) + 2 = 52 metres.

Breadth = x = 25 metres.

Answer 2

$\huge\bf{\sf{\mathcal{\pink{ǟռֆաɛʀ}}}}$

$\:$

$\Large\bf{\sf{\mathcal{\color{lime}{ɢɪᴠᴇɴ}}}}$

$\hookrightarrow$ Perimeter = 154m

$\hookrightarrow$ Length is 2m more than twice its breath

$\Large\bf{\sf{\mathcal{\color{lime}{ᴛᴏғɪɴᴅ}}}}$

$\hookrightarrow$ Length and breath of the pool

$\Large\bf{\sf{\mathcal{\color{lime}{ᴄᴏɴsᴇᴅᴇʀɪɴɢ}}}}$

$\hookrightarrow$ breath = $x$

$\hookrightarrow$ length = x + 2

$\Large\bf{\sf{\mathcal{\color{lime}{sᴏʟᴜᴛɪᴏɴ}}}}$

$\longrightarrow$ Perimeter of $\square$ = 2 ( l × b )

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

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

$\implies$ 154m = 4x + 4

$\implies$ 4x = 154 - 4

$\implies$ 4x = 150

$\implies$ x = $\large\cancel{\frac{150}{4}}$

$\implies\bold{\underline{\red{\mathcal{x = 35}}}}$

$\:$

$\therefore$ breath = x = 35 m

Length = x + 2 = 37 m

$\:$