Question

Figure ABCD~ Figure EFGH

Find the perimeter of figure EFGH

Answer 1

`P = 30.5`

Explanation:

Given

Similar Shapes: ABCD and EFGH

Required

Determine the perimeter of EFGH

First, we need to determine the complete sides of EFGH

Compare Similar Sides:

AB = 12 and EF =6

By comparison:

`12 = 6 * 2`

i.e.

`AB = EF * 2`

So, side FG will be solved using:

`BC = FG * 2`

`12 = FG * 2`

Divide both sides by 2

`FG = 6`

Side GH will also be solved using:

`CD = GH * 2`

`12 = GH * 2`

Divide both sides by 2

`GH = 6`

So, we have:

`GH = 6`
`FG = 6`
`EF = 6`
`EH = 12.5`

The perimeter, P is then calculated as:

`P = GH + EF + FG + EH`

`P = 6 + 6 + 6 + 12.5`

`P = 30.5`