Question

Help me with this geometry

Answer 1

x = 11.2

Explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

`(PQ)/(VS)=(QR)/(ST)` ---------(1)

Since, scale factor =
`\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}`

`(2)/(5)` =
`(PQ)/(VS)`

Therefore, from equation (1)

`(2)/(5)=(x)/(28)`

x =
`(28* 2)/(5)`

x = 11.2