Question

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

Answer 1

Answer:

A. 8 inches by 6 inches.

B. $48\text{ inches}^{2}$.

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.

$\text{The total area of the original sheet of paper}=8\text{ inches}\times 6\text{ inches}$

$\text{The total area of the original sheet of paper}=48\text{ inches}^{2}$

Therefore. the area of original sheet of paper will be $48\text{ inches}^{2}$.