Noah built a birdhouse. The front of the birdhouse is 4 inches wide and 7 inches high. He cut a round door out of the front the area of the door is 5.7 square inches what is the area of the rest of the birdhouse?

Are we talking about the surface area of the birdhouse? It seems so.

The front is 4 x 7. The door is 5.7 square inches.

We need to know the shape of the birdhouse. Is it a cube? Does it have a pitched roof like many houses?

If it's a cube, then there are 6 sides and each side is 4 x 7

(4)(7)(6)=168\,in^2

However, we have a 5.7 square inch hole that we have to subtract from the area:

168\,in^2\,-5.7\,=\,162.3\,in^2