Answer:
The length of NO is [tex]14\ ft[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
The Kite has two pairs of equal-length adjacent (next to each other) sides.
so
The perimeter is equal to
[tex]P=2[MN+NO][/tex]
[tex]P=80\ ft[/tex]
so
[tex]80=2[MN+NO][/tex]
[tex]40=[MN+NO][/tex]
substitute the values and solve for x
[tex]40=[(3x+5)+(x-7)][/tex]
[tex]40=[4x-2][/tex]
[tex]4x=42[/tex]
[tex]x=21\ ft[/tex]
step 2
Find the length of NO
[tex]NO=(21-7)=14\ ft[/tex]
