Question

Quadrilateral ABCD is similar to quadrilateral EFGH.

What is the value of s?
18 m
33.
5
11 m
110 m
990 m
99 m

Answer 1

`s = 11`

Step-by-step explanation:

Given

The attachment completes the question.

Required

Find s

Because ABCD and EFGH are similar, then:

`(AB)/(CD) = (EF)/(GH)`

From the attachment:

`AB = 2s`

`CD = 3s - 3`

`EF = 5.5`

`GH = 7.5`

So, we have:

`(2s)/(3s - 3) = (5.5)/(7.5)`

Cross Multiply

`2s * 7.5 = 5.5(3s - 3)`

Open bracket

`2s * 7.5 = 5.5*3s - 5.5*3`

`15s = 16.5s - 16.5`

Collect Like Terms

`15s - 16.5s = - 16.5`

`-1.5s = - 16.5`

Make s the subject:

`s = (-16.5)/(-1.5)`

`s = (16.5)/(1.5)`

`s = 11`

Hence, the value of s is 11 m