Amir is building a birdhouse that looks like a castle. The diagram shows the roof of the birdhouse. He plans to paint the roof red, but needs to know the surface area to buy the right amount of paint. What is the surface area of the roof, including the bottom?

Areflection of shape i across the y-axis, followed by a , and then a translation left 6 units and down 4 units confirms congruence between shape i and shape ii. alternatively, a of shape ii about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape ii and shape i.