Here's what rhymes with perpetuate.
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wage weighed wade made laid page paid shape rage shade tape cage gauge maid persuade rape bade fade raid sage arrayed babe cape decayed gage swayed jade pervade stage trade played afraid decade grade delayed stayed blade brigade prayed blockade forbade grape obeyed parade surveyed unpaid evade spade arcade braid dissuade frayed outweighed sh staid escape engage betrayed conveyed invade cascade degrade dismayed repaid scrape sprayed upgrade barricade disobeyed grenade lemonade overlaid renegade stockade strayed displayed portrayed crusade retrograde homemade promenade videotape masquerade waste waist based faced shaped taste faint paint haste saint baked chased paste quaint acquaint chaste laced paced raced raped taint debased raked taped placed traced spaced braced draped erased effaced graced staked escaped embraced distaste scraped encased replaced complaint displaced disgraced vouchsafed constraint restraint misplaced