• Measure the dimensions and the length of the diagonal of the cropped area.
• Write the first four terms of an arithmetic sequence that has the length of the diagonal of the cropped area as its first term. Using the terms of your sequence as diagonal lengths, find the four corresponding photo widths. What do you notice about this list of widths?

Question

•	Measure the dimensions and the length of the diagonal of the cropped area. 
	•	Write the first four terms of an arithmetic sequence that has the length of the diagonal of the cropped area as its first term. Using the terms of your sequence as diagonal lengths, find the four corresponding photo widths. What do you notice about this list of widths?

anonymous · Answer

I drew it out but I'm confused if I'm doing it right. The first rectangle is 3.5 by 4.4 cm and the diagonal line is 5.5cm.

anonymous · Answer

Place a piece of paper over the photograph, trace its original size, and draw a rectangle to indicate a portion of the photograph that you would like to crop.
Draw a diagonal from the lower left corner to the upper right corner of the rectangular cropped area. 
If this diagonal is extended through the upper right corner of the cropped area, and a point selected anywhere along the diagonal or its extension, then the rectangle having the chosen point as its upper right corner (and the same lower left corner as the original cropped area) will have dimensions that are proportional to the dimensions of the cropped area.