Solve for d.

5+d> 5−d

d> −10

d< −5

d> 0

d> 6

d > 0

Simplify both sides of the inequality.

d+5>−d+5

Add d to both sides.

d+5+d>−d+5+d

2d+5>5

Subtract 5 from both sides.

2d+5−5>5−5

2d>0

Divide both sides by 2.

2d/2>0/2

d>0

 MP = 2

Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2