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Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy

A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)

Tony used a photocopier to dilate the design for a monorail track system. The figure-example-1
User Chavi
by
6.6k points

1 Answer

4 votes

Answer:

12 m

Explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

Thus, we are given the ratio, CD:GH = 2:3.

This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔


(AD)/(EH) = (2)/(3)


(8)/(EH) = (2)/(3)

Cross multiply


3*8 = 2*EH


24 = 2*EH

Divide both sides by 2 to make EH the subject of formula


(24)/(2) = (2*EH)/(2)


12 = EH

The length of side EH = 12 m

User AMC
by
6.2k points