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

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

step-by-step explanation: