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1. if the trapezoids are similar, find the length of side w. y = 80 mm,…

Question

  1. if the trapezoids are similar, find the length of side w.

y = 80 mm, x = 60 mm, a = 70 mm, c = 50 mm
84 mm
56 mm
44 mm
112 mm

Explanation:

Step1: Find similarity ratio

Ratio = $\frac{y}{c} = \frac{80}{50} = \frac{8}{5}$

Step2: Relate w and a via ratio

$\frac{w}{a} = \frac{8}{5}$

Step3: Solve for w

$w = a \times \frac{8}{5} = 70 \times \frac{8}{5}$

Answer:

112 mm