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

The length of NO is
`14\ ft`

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`