Question

the length of a rectangular field is 8 meters less than twice it's breadth. if the perimeter of the rectangular field is 56 find its length and breadth

please give the answer as fast as possible ​

Answer 1

Answer:

2b - 8 + b = 56 / 2

3b = 36

b = 12

l = 16

Answer 2

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: QuEsTiOn :- \: \star}}}}}$

❥ The length of a rectangular field is 8 meters less than twice it's breadth. if the perimeter of the rectangular field is 56 find its length and breadth.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

❥ The length and Breadth of Rectangle is 16m & 12m respectively.

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

Perimeter = 56 m.

❥ The length of a rectangular field is 8 meters less than twice its breadth.

$\Large{\underline{\underline{\bf{Find:-}}}}$

Length of the rectangle = ?

Breadth of the rectangle = ?

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Here we go !

❥ Let the Unknown Breadth be "x"

Now , as per the question

Length of the rectangle would be

↠ Length of Rectangle ↠ 2x - 8. ..... 1 eqn

❥ Applying formula

↠Perimeter of Rectangle = 2 ( L + B )

↠ 56 = 2 ( 2x - 8 + x )

↠ 56/2 = 2x - 8 + x

↠ 28 = 3x - 8

↠ 28 + 8 = 3x

↠ 36 = 3x

↠ x = 36/3

↠ x = 12

So,

❥ We got the Breadth of Rectangle is 12m.

Now putting it in the eqn ..1

↠ Length of Rectangle

↠ 2x - 8

↠ 24 - 8

↠ 16m

$\yellow{\bigstar}$ Length $\large\leadsto\boxed{\rm\pink{16m}}$

$\mathfrak{\huge{\purple{\underline{\underline{Hence}}}}}$

❥ The length of the rectangle is 16m

❥ Breadth of Rectangle is 12m .

Step-by-step explanation: