Question

Q4. Perimeter of rectangle is 186cm, if length is (5x+6) and breadth is (2x+66). Find the
value of x​

Answer 1

Given:-

• Perimeter of Rectangle = 186cm
• Length ,l = (5x + 6)
• Breadth ,b = (2x+66)

To Find:-

• The value of x

Solution:-

According to the Question

As we know that Perimeter of rectangle is calculated by

• Perimeter of Rectangle = 2(l+b)

Where,

• l denote length
• b denote breadth

Substitute the value we get

$:\implies$ 2 { (5x + 6) + (2x+66)} = 186cm

$:\implies$ 2 { 5x +6 + 2x + 66} = 186

$:\implies$ 2 { 7x + 72) = 186

$:\implies$ 7x + 72 = 186/2

$:\implies$ 7x +72 = 93

$:\implies$ 7x = 93-72

$:\implies$ 7x = 21

$:\implies$ x = 21/7

$:\implies$ x = 3

• Hence, the value of x is 3.

Answer 2

Question:-

• Perimeter of rectangle is 186cm, if length is (5x+6) and breadth is (2x+66). Find the value of x.

To Find:-

• Find the value of x.

Solution:-

Given ,

• Perimeter of rectangle = 186 cm

• Length of rectangle = 5x + 6

• Breadth of rectangle = 2x + 66

According to the Question:-

$\dashrightarrow\sf \: Perimeter = 2( l + b )$

$\dashrightarrow\sf \: 186 = 2( 5x + 6 + 2x + 66 )$

$\dashrightarrow\sf \: 186 = 2( 7x + 72 )$

$\dashrightarrow\sf \: 186 = 14x + 144$

$\dashrightarrow\sf \: 14x = 186 - 144$

$\dashrightarrow\sf \: 14x = 42$

$\dashrightarrow\sf \: x = \cancel\dfrac { 42 } { 14 }$

$\dashrightarrow\sf \: x = 3$

Hence ,

• The value of x is 3.