Question

PLEASE HELP 50 points!!!!trapezoid ABCD is similar to trapezoid EFGH. What is the value of s?

32m
3.2m
0.8m
8m

Answer 1

You can set up a proportion based on the information you know. There are several ways to do this but here's one: $\frac{8}{4} = \frac{s}{16}$ because the 8 corresponds to the 4 and the s correspnds to the 16. Cross multiply to get 8 * 16 = 4s → 128 = 4s → 32 = s so the value of s is 32m

Answer 2

The value of s is 32 m.

Similar Trapezoids

Similar trapezoids are trapezoids whose sides are in a ratio. the ratio is known as the scaled factor.

Scale factor

A scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.

As given to us, ABCD is similar to trapezoid EFGH. therefore, the sides of the trapezoid are in a ratio.

Thus we can write,

$\bold{\dfrac{EH}{AD}=\dfrac{GH}{CD}}$

substituting the values we get,

$\bold{\dfrac{s}{16}=\dfrac{8}{4}}$

$\bold{s=\dfrac{8\times 16}{4}=32}$

Hence, the value of s is 32 m.

Learn more about similar trapezoids:

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