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5) because ABCD is a rectangle => AC = BD

<=> 4x - 5 = 3x - 1

<=> 4x - 3x = -1 + 5

<=> x = 4

6) because EFGH is a rhombus

=> HF is the bisector of the angle EHG

=> EHF = GHF

<=> 3x - 15 = 2x + 9

<=> x = 24

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

squares, rhombus, rectangles