(Irfan Khan/AP)

The retailer, which sells discounted designer clothing, plans to take over the former Borders site at 1800 L Street NW, according to the company’s Web site. The store is scheduled to open April 18.

Nordstrom Rack signed the lease for the space in November and began construction a few weeks ago, said Mike Howard, a spokesman for The Rappaport Companies, which is the leasing agent for the building.

“It’s a done deal,” Howard said. “They’re the right fit — they are high-quality and have the right prices for the busy downtown shopper.”

The company also has plans to open a new location in Columbia Crossing in Columbia this May. There are currently nine Nordstrom Racks in the Washington area.

The Washingtonian reported the news earlier today.