Question

Fred is fencing his yard, which is shaped as a rhombus. He used 4x meters of fencing material for one side and (x + 9) meters for the adjacent side.

What is the perimeter of the yard?

12 meters

36 meters

96 meters

48 meters

Answer 1

all sides are congruent, so

4x = x+9

solve that for x to get

x = _____

Answer 2

the question its given he used 4x meters for fencing one side

that means
4x = 4*3 =12m ( since x=3)

and x+9 for other side
(3)+9 =12m

So you have one side of Rhombus as 12m
Perimeter = Sum of all sides
= 12+12+12+12 (or 4 * 12) =48 m