Question

If PQRS ~ WXYD, find the value of x.
(If possible, show step-to-step)

Answer 1

x = 60

Explanation:

We are told that the figures are similar. That means the that corresponding sides are proportional.

Sides Ps and ZW are corresponding sides. We can use them to find the scale factor form the smaller figure to the larger figure.

40 times some number (the scale factor) is 75

Let x = the scale factor

40x = 75 Divide both sides by 40

`(40x)/(40)` =
`(75)/(40)`

x = 1.875 This is are scale factor.

Take side YZ and multiply its length of 32 by the scale factor to find x.

32(1.875) = 60

Answer 2

x = 60

Explanation:

assuming you mean PQRS is similar to WXYZ , then ratios of corresponding sides are in proportion, that is

`(RS)/(YZ)` =
`(PS)/(WZ)` ( substitute values )

`(x)/(32)` =
`(75)/(40)` ( cross- multiply )

40x = 2400 ( divide both sides by 40 )

x = 60