Answer:
15 feet is the length of one side of the fenced-in garden.
Step-by-step explanation:
Diagonals of rhombus bisect each at 90 degree angle.
In rhombus ABCD
OA = OC =[tex]\frac{24 feet}{2}= 12 feet[/tex]
OB = OD = [tex]\frac{18 feet}{2}= 9 feet[/tex]
Since, the diagonal intersect at 90 degree angle.
Applying Pythagoras theorem in ΔAOB
[tex]OA^2+OB^2=AB^2[/tex]
[tex](12 feet)^2+(8 feet)^2=AB^2[/tex]
AB = 15 feet = Length of side of the rhombus fenced garden
15 feet is the length of one side of the fenced-in garden.
