Question

Polygon V is a scaled copy of polygon U.


What is the value of w?

Answer 1

27

Explanation:

Since polygon V is a scaled copy of polygon U the scale ratio of similar side is equal.

Hence 40÷36=20÷18=30÷w

40÷36=1.1111111

therefore 30÷w=1.111111

so W=30÷1.11111111=27.000027

W=27

Answer 2

w = 27

Explanation:

the ratios of corresponding sides are in proportion, that is

`(w)/(30)` =
`(36)/(40)` =
`(9)/(10)` ( cross- multiply )

10w = 9 × 30 = 270 ( divide both sides by 10 )

w = 27