The banana is an attractive herbaceous flowering plant that grows to a mature height of 12 to 18 feet tall. Its large leaves, purple flowers, and brightly colored fruit make a dramatic statement in the garden. It’s a Tropical Plant, there are about 70 species of the genus Musa, and they are indigenous to tropical areas of India, Southeast Asia, and northern Australia. Given their native climate, it is unsurprising that banana plants are cold intolerant. They need mild temperatures in order to grow; their leaves will stop growing at around 55°F.