Question

This scale drawing shows a reduction in a figure. What is the value of x? Enter your answer as a decimal in the box. x = Two trapezoids of different sizes. The first trapezoid has a side labeled 14.7 cm and a side labeled 12.6 cm. The second trapezoid has the corresponding sides labeled 4.9 cm and x cm, respectively.

Answer 1

The second trapezoid has the length of x as 4.2 cm.

Scaling

Scaling is the increase or decrease in  the size of an object or figure by a factor k, so as to create an image.

Scaling leads to the creation of similar figures. Similar figures have the same shape and the ratio of their corresponding sides are in the same proportion

From the question, since both trapezoids are similar, hence:

14.7 / 4.9 = 12.6 / x

x = 4.2 cm

The second trapezoid has the length of x as 4.2 cm.

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