Answer:
A. 8 inches by 6 inches.
B. [tex]48\text{ inches}^{2}[/tex].
Step-by-step explanation:
We have been given that George had 1 sheet of paper. He cuts it into 6 inches by 5 inches and 3 inches by 6 inches.
We can see that two dimensions of small parts of paper sheet have one dimension same (6 inches), therefore, one dimension of original sheet of paper will be 6 inches.
We can figure out second dimension of original paper sheet by adding the lengths of dimension other than 6. So the second dimension will be 8 inches (5+3).
Therefore, the dimensions of our original sheet will be 8 inches by 6 inches.
Now let us figure out the total area of the original sheet of paper by multiplying 8 by 6.
[tex]\text{The total area of the original sheet of paper}=8\text{ inches}\times 6\text{ inches}[/tex]
[tex]\text{The total area of the original sheet of paper}=48\text{ inches}^{2}[/tex]
Therefore. the area of original sheet of paper will be [tex]48\text{ inches}^{2}[/tex].