Question

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Answer 1

EXPLANATION.

Two consecutive sides of a rhombus,

⇒ 3x - 6  and  x + 14.

A we know that,

Sides of rhombus is always equal.

It means these two sides are also equal.

⇒ 3x - 6 = x + 14.

⇒ 3x - 6 - x - 14 = 0.

⇒ 2x - 20 = 0.

⇒ 2x = 20.

⇒ x = 10.

One sides = 3x - 6 = 3(10) - 6 = 24.

Other sides = x + 14 = 10 + 14 = 24.

As we know that,

Formula of :

Perimeter of Rhombus = 4 x sides.

Perimeter of Rhombus = 4 x 24 = 96.

Answer 2

❍ Given that, two consecutive sides of a rhombus are represented by ( 3x - 6 ) and ( x + 14 ) and we need to find the perimeter of that rhombus.

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To calculate the perimeter of this rhombus we must know that ::

• Perimeter of a rhombus = 4 × Side

• All sides of a rhombus are equal in length.

Finding the value of x :-

• As the sides of rhombus are equal we can form an equation :

⤳ ( 3x - 6 ) = ( x + 14 )  

⤳ 3x - 6 = x + 14

⤳ 3x - x = 14 + 6

⤳ 2x = 20

⤳ x = 20/2

⤳ x = 10

Finding the side :-

⤳ ( x + 14 ) = 10 + 14 = 24

⤳ ( 3x - 6 ) = 30 - 6 = 24

Finding the perimeter :-

⤳ Perimeter = 4 × Side

⤳ Perimeter = 4 × 24

⤳ Perimeter = 96

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• Henceforth, the perimeter of the rhombus is 96