A photo is printed on an 12-inch by 18-inch piece of paper. The photo covers 112 square inches and has a uniform border. What is the width of the border?

the width of the border is 2 inches.

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Let x represent the width of the border.

The photo is printed on an 12-inch by 18-inch piece of paper. The width of the photo will be (12 - 2x) inches. The length of the paper will be (18 - 2x) inches.

The area of the paper would be

(18 - 2x)(12 - 2x)

The photo covers 112 square inches and has a uniform border. This means that

(18 - 2x)(12 - 2x) = 112

216 - 36x - 24x + 4x² = 112

4x² - 60x + 216 - 112 = 0

4x² - 60x + 104 = 0

Dividing through by 4, it becomes

x² - 15x + 26 = 0

x² - 13x - 2x + 26 = 0

x(x - 13) - 2(x - 13) = 0

x - 2 = 0 or x - 13 = 0

x = 2 or x = 13

The only possible value for the width of the border is x = 2 inches

step-by-step explanation:

explanation:

step-by-step explanation: