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?

72 meters

68 meters

116 meters

92 meters

Question

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? 

 72 meters 

 68 meters 

 116 meters 

 92 meters

noelgreco · Answer

What can you say about the sides of a rhombus?

anonymous · Answer

i mean i know the top and bottom bases are parallel.

noelgreco · Answer

Yes, there are two pairs of opposite, parallel sides.  That makes it a parallelogram.

What makes that parallelogram a rhombus, though?  It has to do with the length of the sides.

anonymous · Answer

they are congruent?

noelgreco · Answer

Yes, they are.  Now you can equate the two algebraic expressions and solve for x.  Then plug tat value back into either expression, find the length of each side, and then the perimeter.

anonymous · Answer

but youll only know the lengths for 2 sides

noelgreco · Answer

...but you told me (correctly) that all four sides are congruent.

noelgreco · Answer

did you get a value for x?