George had 1 sheet of paper. He cuts it into 6 inches by 5 inches, and 3 inches by 6 inches. What were the dimensions and total area of his original sheet of paper?

The area is 48 square inches and the original dimensions are 6 by 8 inches.

Step-by-step explanation:

Total area = (6 x 5 + 3 x 6) sq. in. = 48 sq. in.

The original size of the (rectangular) paper must have been 6 by 8 inches. The two pieces share a side of length 6, so that's the first dimension. The sum of their other sides gives the second dimension: 3+5=8 inches.

The answer is 48 inches ^2