Question

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

9 inches
9 inches

3 inches
3 inches

1 inch
1 inch

4 inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the width of the border be x inches.

The total area of the framed picture = Total area of the outer frame - total area of the picture

96 = (10+2x)(6+2x) - 10*6

96 = (20+12x+2x^2) - 60

96 = 20 + 12x + 2x^2 - 60

96 = 2x^2 + 12x - 40

2x^2 + 12x - 136 = 0

x^2 + 6x - 68 = 0

(x+10)(x-4) = 0

x = 4

Therefore, the width of the border is 4 inches.