If 3x-6 and x+14 are sides of a rhombus find the perimeter
Answers
Answer:
Step-by-step explanation:
we know that all the sides of rhombus are equal
3x-6 = x + 14
2x = 20
x = 10
therefore, we can get the side by putting the value of x in the expression x+14 = 24
perimeter of Rhombus = 4 x side = 4 x 24 = 96 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
the side = 3x-6 = 3(10)-6 = 30-6 = 24
So all sides are equal to 24 units each
So the value of side = 24units
perimeter of a rhombus = 4×side
=> P = 4×24
=> P = 96 units
Answer:-
The perimeter of the given rhombus is 96 units