Question

CARD I:

Trapezoid ABCD is similar to trape

GHIJ. What is the length of HI?

Answer 1

`HI = 32`

Explanation:

Given

I will answer this question with the attached image (not drawn to scale) , from which we have:

`AD = 16`

`CD = 4`

`IJ = 8`

Required

Find HI

To solve for HI, we make use of the following equivalent ratios.

`AD:CD = HI:IJ`

So, we have:

`16:4 = HI:8`

Express as a fraction

`(16)/(4) = (HI)/(8)`

Make HI, the subject

`HI = (16)/(4) * 8`

`HI = 32`