Question

12 triangles outlined in blue are shown. A red square is drawn around 8 of the triangles.
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply.

4A + B
8A + B
2A + B
1.5B
12A

Answer 1

I need the picture to be certain which region is shaded. Assuming the shaded region is all 12 small triangles:

- The red square contains 8 of the small triangles, so B = 8A.
- The total shaded area (12 triangles) = 12A.

Rewrite 12A in terms of B:
- 12A = 4A + 8A = 4A + B, so 4A + B works.
- 12A = (12/8)B = 1.5B, so 1.5B works.
- 12A itself works.

So the correct choices (under that interpretation) are: 4A + B, 1.5B, and 12A.

If the shaded region is something else, please upload or describe the diagram and I’ll re-evaluate.