Maria is framing an 8 inch by 10 inch photograph with matting as shown. Which is an expression for the area of the photograph with the mat?

Step-by-step explanation:

Area of the photograph with the mat = area of the photograph + area of the mat

Area of the photograph = length * width = 10*8 = 80 in²

Area of the mat:

Decompose the mat frame into 4 rectangles and 4 squares (these are the corners of x*x dimensions)

The 4 rectangles = 2(8*x) + 2(10*x) = 16x + 20x = 36x

The 4 squares (the corners) = 4(x*x) = 4x²

The area of the photograph with the mat = 80 + 36x + 4x²

Rearrange in standard form:

The expression for the area would be:

✅

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..