The width of a photo is 5 inches less than its length. a border of 2 inches is placed around the photo. the area covered by the photo and its border is 104 square inches. find the dimensions of the photo itself

Dimensions of photo excluding border:

x = 11 inches

y = 6 inches

Step-by-step explanation:

Let the length be 'x' and width be 'y'.

The width of a photo is 5 inches less than its length, that is:

x-5 = y

let 'X' be length of photo including border and 'Y' be the width of photo including border:

Where X = x+2 and Y = y+2

Now , we have X-5 = Y

and X*Y = 104 square inches

*putting Y = X-5*

X(X-5) = 104

⇒ X-13 = 0          or        X+8 = 0

Hence X = 13       or X = -8

As length can not be negative, X = 13 inches

Y = X-5 = 13-5 = 8 inches

Dimensions of photo excluding border:

x = X - 2 = 13-2 = 11 inches

y = Y-2   =  8-2 =  6 inches

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: