Please help. I need to convert this text into a trinomial equation.

I have a 10x12" photo. I want to scan it and reduce it by 1/8 of the original size.

Thanks

Your wording is not clear, but I will assume you want to maintain the proportion of the original photo, and reduce it to 1/8 of its original area.

let the new width be x and
the new height be y
so 10/12 = x/y
5y = 6x
y = 6x/5

second relation:
xy = 10(12)/8
xy = 15
x(6x)/5 = 15
6x^2 = 75
x = √(75/6) = 3.5355
then y = 4.2426

check: 3.5355/4.2426 = .833333
and 10/12 = .833333.. OK

xy = 3.5355(4.2426) = 14.9997
1/8(120) = 15

what do you think?

To convert the given information into a trinomial equation, we need to understand the problem and break it down into mathematical expressions.

First, let's determine the original size of the photo. It is mentioned that the photo is 10x12 inches.

Next, we need to calculate the reduced size by 1/8 of the original size. To do this, we can multiply each dimension of the original photo by 1/8.

Calculating the reduced size:
Reduction factor = 1/8

Reduced width = 10 inches x (1/8) = 1.25 inches
Reduced height = 12 inches x (1/8) = 1.5 inches

Now, we can express the original width and height of the photo as variables and write an equation to represent the reduced size:

Let's say "W" represents the original width and "H" represents the original height.

The trinomial equation representing the reduced size of the photo can be written as:
(W - 1.25)(H - 1.5) = 0

This equation represents the reduced size of the photo when both the width and height are reduced by 1/8 of the original size. The equation is set to zero since it represents the reduced dimensions of the photo.