Question

QUICKLY PLEASE. 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.

1. 4A + B
2. 8A + B
3. 2A + B
4. 1.5B
5. 12A

Answer 1

The answers are 1, 4, and 5

Explanation:

Answer 2

1, 4, and 5

Explanation:

There are 4 triangle with area 4 so that is 4A and since there is only one square the area of the whole thing is 4A+B. Each triangle is also equal to 1/8 of the square. This means A=B/8 or B=8A. First replacing B in the previous equation you get 4A+8A which is 12A. Then replacing A with B/8 you get 4(B/8)+B which is B/2+B which is 3B/2 and 3/2 is 1.5 so 3/2B is equal to 1.5B.