Question

The length of a rectangular field is 8 meters less than twice its breadth. If
the perimeter of the rectangular field is 56 meters, find its length and breadth?
rianale are each s motore long the​

Answer 1

Answer:

The length of the rectangle is 16 meters and the breadth is 12 meters.

Step-by-step explanation:

Let the breadth of the rectangle(b) be 'x'

As given, the length of the rectangle(l) will be 2x-8.

The perimeter of the rectangle is 56 meters.

2(l+b) = 56

2(2x-8+x) = 56

3x-8 = 56/2

3x-8 = 28

3x = 28+8 = 36

x = 36/3 = 12.

The breadth of the rectangle is 12 meters.

The length of the rectangle becomes 16 meters.

= 2(12)-8

= 24-8 = 16.

Hope this helps you..

Answer 2

☞︎︎︎ Given :

$\: \: \: \: \:$

★ Length of rectangle = 2 × breadth - 8m

$\: \: \: \: \:$

★ Perimeter of rectangular feild = 56m

$\: \: \: \: \:$

☞︎︎︎ To Find :

$\: \: \: \: \:$

★ Length of ractangle

$\: \: \: \: \:$

★ Breadth of rectangle

$\: \: \: \: \:$

_____________________________________________

$\: \: \: \: \:$

☞︎︎︎ Solution :

$\: \: \: \: \:$

☕︎ Let the breadth of rectangle be = x

$\: \: \: \: \:$

$\therefore$ length = 2 × x - 8m = 2x - 8m

$\: \: \: \: \:$

$\: \: \: \: \:$❥︎ Pereter of rectangle = 56m

$\: \: \: \: \:$

$\looparrowright \boxed{ \mathtt {\: perimeter = 2 \times (l + b)}}$

$\: \: \: \: \:$

_____________________________________________

$\: \: \: \: \:$

☞︎︎︎ On solving :

$\: \: \: \: \:$

➪ 56 = 2 × ( 2x - 8m + x )

$\: \: \: \: \:$

➪ 56 = 2 × ( 3x - 8 )

$\: \: \: \: \:$

☞︎︎︎ On Transposing the terms :-

$\: \: \: \: \:$

$\implies \mathtt{ \: \dfrac{56}{2} = 3x - 8}$

$\: \: \: \: \:$

$\implies \mathtt{ \: 28 = 3 x - 8}$

$\: \: \: \: \:$

$\implies \mathtt{ \: 28 + 8 \: = 3 x}$

$\: \: \: \: \:$

$\implies \mathtt{ \: 36\: = 3 x}$

$\: \: \: \: \:$

$\implies \mathtt{ \: \dfrac{36}{3} \: = \: x}$

$\: \: \: \: \:$

$\large \boxed{ \boxed{ \mathtt {\therefore \: x = 12}}}$

$\: \: \: \: \:$

_____________________________________________

$\: \: \: \: \:$

☕︎ Hence,

$\: \: \: \: \:$

☞︎︎︎ breadth of rectangle = x = 12m

$\: \: \: \: \:$

☞︎︎︎ Length = 2x - 8m

$\: \: \: \: \:$

➪ 2 × 12 -8

$\: \: \: \: \:$

➪ 24 - 8

$\: \: \: \: \:$

= 16

$\: \: \: \: \:$

★ Length = 16m

$\: \: \: \: \:$

_____________________________________________