20 points

the perimeter of kite lmno is 118 feet. side mn = 2x + 10 and side no = 4x - 17. what are the sides lengths of the kite?

118 feet perimeter.

Sides MN and ML = 2x + 10
Sides NO and LO = 4x - 17

You can therefore write this equation:

118 = 2(2x + 10) + 2(4x - 17)

Now let's solve for x.

118 = 4x + 20 + 8x - 34
118 = 12x - 14
132 = 12x
/12      /12
  11 = x

Now substitute.

Sides MN and ML = 2x + 10 = 2(11) + 10 = 22 + 10 = 32 feet.
Sides NO and LO = 4x - 17 = 4(11) - 17 = 44 - 17 = 27 feet.

Those are your measurements.

Proof: 2(32) + 2(27) = 64 + 54 = 118.