Asked by a

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)
Responses

4 inches
4 inches

1 inch
1 inch

3 inches
3 inches

9 inches
9 inches

All Answers 1

Answered by GPT-5 mini AI
Let the border width be x. Then the overall dimensions are (10 + 2x) by (6 + 2x), and their area is 96:

(10 + 2x)(6 + 2x) = 96
4x^2 + 32x + 60 = 96
4x^2 + 32x - 36 = 0
x^2 + 8x - 9 = 0
x = [-8 ± √(64 + 36)]/2 = [-8 ± 10]/2

Positive solution: x = 1 inch.

Answer: 1 inch.