The length of a similar picture frame is Option (a) 56 in.
Concept of ratio -
The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio indicates how many times one number contains another. It is expressed as a:b where a and b are parameters for any given set of relation.
How to find the length of a given parameter in the question from the concept of ratio ?
Given length to width ratio is 8:5.
We have to find the length of similar picture frame which has a width of 35 inches.
Let length of the picture frame be L inches.
Using ratio equation for solving, we have
8:5 = L:35
⇒ 8/5 = L/35
∴ L = (8/5) * 35 = 56 inches.
Therefore the length of a similar picture frame is Option (a) 56 in.
To learn more about concepts of ratio, refer -
https://brainly.com/question/3597343
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