Hassan wants to add a border to a photo he took before he frames it. The final area of the entire framed picture will be 96 square inches. The length of the picture is 10 inches, and the width is 6 inches. Which of the following is the width of the border?(1 point)

Question

Responses

1 inch
1 inch

4 inch

Answer 1

To find the width of the border, we need to calculate the area of the picture itself first.

Area of the picture = length * width
= 10 * 6
= 60 square inches

Now, we know that the final area of the entire framed picture is 96 square inches. So, the area of the border would be:

Area of the border = Total area - Area of the picture
= 96 - 60
= 36 square inches

Since the border will be the same width all around the picture, we can divide the total border area by the perimeter of the picture to find the width of the border.

Perimeter of the picture = 2 * (length + width)
= 2 * (10 + 6)
= 2 * 16
= 32 inches

Width of the border = Area of the border / Perimeter of the picture
= 36 / 32
= 1.125 inches

So, the width of the border is 1.125 inches. None of the options provided match exactly, but it is closest to 1 inch.