Question

The perimeter of kite LMNO is 80 feet. Side MN = 3x + 5 and side NO = x – 7 . What is the length of NO?

Answer 1

Answer:

The length of NO is $14\ ft$

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

$P=2[MN+NO]$

$P=80\ ft$

so

$80=2[MN+NO]$

$40=[MN+NO]$

substitute the values and solve for x

$40=[(3x+5)+(x-7)]$

$40=[4x-2]$

$4x=42$

$x=21\ ft$

step 2

Find the length of NO

$NO=(21-7)=14\ ft$