HELP!!
Sabrina is fencing her yard, which is shaped as a rhombus. She used (6x – 7) meters of fencing material for one side and (3x+ 5) meters for the adjacent side.

What is the perimeter of the yard?

Question

HELP!!
Sabrina is fencing her yard, which is shaped as a rhombus. She used (6x – 7) meters of fencing material for one side and (3x+ 5) meters for the adjacent side.

What is the perimeter of the yard?

anonymous · Answer

Remember, in a rhombus, the sides are equal. So does this give you a hint?

anonymous · Answer

Another hint: One side is (6x - 7) and another is (3x + 5). Can you equate these expressions and find x?

parthkohli · Answer

Hey Pratu! You are right!
Although, as the question tells to find the perimeter, we must use the formula.

$\Large \color{MidnightBlue}{\Rightarrow 4(side) = Perimeter(Rhombus) }$

We can use any one of those expressions.

anonymous · Answer

I know, if we find x, we will be able to find the perimeter as a constant and NOT in terms of x.

parthkohli · Answer

Well, that is correct, indeed.

parthkohli · Answer

And then, not to forget, you must substitute x in any one of the expressions.

anonymous · Answer

The formula to determine the perimeter of a rhombus is 4s and each side (s) of a rhombus is of equal length. So that means:

(6x-7)=(3x+5)
6x=3x+12
3x=12
x=4

Substitute 4 for x:

6(4)-7=17
3(4)+5=17

So each side is 17 units:

4s
4(17)= 68 units = the perimeter of the rhombus