If two consecutive sides of a rhombus have lengths
3x-6 and x + 14,
then what is the perimeter of the rhombus?

a. 10

b. 24

c. 70

d. 96

Given that:

The consecutive sides of a rhombus are 3x-6 and x+14 .

We know that

all sides are equal in a rhombus

⇛ 3x-6 = x+14

⇛ 3x-x = 14+6

⇛ 2x = 20

⇛ x = 20/2

⇛ x = 10

Now,

3x-6 = 3(10)-6 = 30-6 = 24

Length of the side = 24 units

Now,

Perimeter of a rhombus = 4×side

⇛ P = 4×24 units

P = 96 units

-The perimeter of the given rhombus is 96 units.

also read similar questions: The degree measure of two consecutive angles of a rhombus are represented by 5x+10 and 3x+50 find x.

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the diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.

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