Tom used a photocopier to dilate the design for a monorail track system. the figure below shows the design and its photocopy: the ratio of bc: fg is 1: 2. what is the length, in meters, of side eh on the photocopied image?

14 meters.

step-by-step explanation:

we have been given that design for a monorail track system is dilated to get a photocopy. it has been given that ratio of bc: fg is 1: 2.

let us find the factor of dilation using our given proportions.

upon cross multiplying our equation we will get,

since we know that dilation of a figure changes all the sides of figure by same factor. so all the sides of photocopy are 2 times the sides of design and factor of dilation is 2.

now let us find length of side eh by multiplying its corresponding side length by 2.

we can see that side ad corresponds to side eh. so we will multiply 7 by 2 to get the side length of eh.

therefore, the length of side eh on the photocopied image is 14 meters.