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Answers
Two adjacent sides are given by 3x-6 and x+14.
Now, because its a rhombus all sides of it are equal.
By the problem,
3x-6=x+14
2x=20
X=10
Perimeter of rhombus- 4a (a=side of rhombus)
4*10=40 units
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Step-by-step explanation:
Given :-
Two consecutive sides of a rhombus are represented by 3x-6 and x+14
To find :-
Find the perimeter of the rhombus ?
Solution :-
Given that :
The consecutive sides of a rhombus are 3x-6 and x+14
In a rhombus all sides are equal
so given two sides are equal
3x-6 = x+14
=> 3x-x = 14+6
=> 2x = 20
=> x = 20/2
=> x = 10
Therefore x = 10 units
the side = 3x-6
= 3(10)-6
= 30-6
= 24
So the value of side = 24units
All sides are equal to 24 units each.
We know that
perimeter of a rhombus = 4×side
=> P = 4×24
=> P = 96 units
Answer:-
The perimeter of the given rhombus is 96 units
Used formulae:-
- All sides are equal in rhombus
- Perimeter of a rhombus is 4×side
- Perimeter of a polygon is the sum of all sides.