Two rectangular picture frames have the same area of 45 square inches but have different side lengths. One frame has a length of inches, and the other frame has a length of inches. Before calculating, predict which frame has the shorter width. Explain your reasoning. Calculate the width that you predicted to be shorter.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

or

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

step-by-step explanation:

gym b charges $1.05 less per hour than gym a.