Question

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

Answer 1

Answer:

12 m

Step-by-step 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

$\frac{AD}{EH} = \frac{2}{3}$

$\frac{8}{EH} = \frac{2}{3}$

Cross multiply

$3*8 = 2*EH$

$24 = 2*EH$

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

$\frac{24}{2} = \frac{2*EH}{2}$

$12 = EH$

The length of side EH = 12 m