mg4 said:

The answer you provided in the main forum was the answer my daughter selected; however, her teacher provided this response: "The question already states the area of the **triangle** as 144 square miles and the height is 8 miles. **144= 8 X height** is the equation - divide both sides of the equation by 8. height = 18 Please picture a rectangle bisected by a diagonal to form two triangles, each with an area of 144 square miles.. The base of each triangle and the height of each triangle with be the same numbers for both triangles, but the area of the **rectangle** is both areas added together." What are we missing? I still believe the correct answer is 36. Your thoughts?

I'm replying here rather than to your private message, so others can see it.

I'm baffled. The question, as you quote it, is about a triangle, not the rectangle that has been described here. But what the teacher said can be used to obtain the correct answer: If each triangle has an area of 144 mi

^{2}, then the area of the rectangle is 288 mi

^{2}, so the equation to solve would be 288 = 8H, and again the answer is 36. The teacher is contradicting herself.

Unless you have quoted something wrong, the teacher is simply incorrect. I would want to meet face to face and draw the picture, showing what I said above.