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:

✅

maybe showing the graph would

step-by-step explanation:

-387129 iq

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.