A picture is copied onto a sheet of paper 8 inches by 10 inches. A 1 inch margin is left all around the picture. Find the length, width, and area of the picture.
the length is 10 and the width is 8 but i don't understand how the 1 inch margin comes into play? is the area just 10 * 8 = 80?
Subtracting 1 inch on all sides, the picture measures 6 by 8 inches.
so the length is 8 and the width is 6 and the area is 48?
wait, if you're subtracting 1 inch on all sides wouldn't it be 10 - 1 = 9 and 8 - 1 = 7?
You're subtracting 2 inches because there's a 1-inch margin on all four sides.
Yes, the area is 48 square inches.
okay thanks
You're welcome, Cali.
Yes, you are correct that the length of the picture is 10 inches and the width is 8 inches. However, the 1 inch margin should be taken into account when calculating the area of the picture.
To find the area of the picture, we need to subtract the area of the margin from the total area of the paper.
First, let's find the length and width of the picture including the margin. Since there is a 1 inch margin on all sides, the actual length of the paper will be 10 inches + 2(1 inch) = 12 inches, and the actual width will be 8 inches + 2(1 inch) = 10 inches.
Now, we can calculate the area of the picture including the margin. The area of the picture is the product of the adjusted length and width: 12 inches * 10 inches = 120 square inches.
However, this area includes both the picture and the margin. To find the area of just the picture, we need to subtract the area of the margin.
The margin is a uniform 1 inch all around the picture, so the overall dimensions of the picture, including the margin, are 2 inches greater in both length and width.
To find the area of the margin, we subtract the area of the picture from the total area of the paper. The total area of the paper is 8 inches * 10 inches = 80 square inches.
Therefore, the area of the margin is 120 square inches - 80 square inches = 40 square inches.
Thus, the area of the picture is 120 square inches - 40 square inches = 80 square inches.
So, the area of the picture is indeed 80 square inches, and the length and width of the picture are 10 inches and 8 inches, respectively.