Metro

10 percent of NYC’s public housing rated as ‘troubled’

Physical conditions at 10 percent of the city’s public-housing developments are so poor that the feds have rated them “troubled.”

The city’s Independent Budget Office said a review by the federal Department of Housing and Urban Development showed that the oldest and largest developments had the biggest ­issues.

Roughly 64,000 out of 400,000 NYC Housing ­Authority tenants reside in the lowest-rated buildings.

This includes the Patterson Houses in The Bronx, rated worst in the city, where tenants have complained in recent years about the lack of heat, hot water and cooking gas, according to published reports.

Officials have said ­NYCHA is facing a $17 billion shortfall in its capital program, but noted that Mayor de Blasio has committed $1 billion over the next 10 years toward roof repairs.