Question

What is the value of x?


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x = cm

Answer 1

x = 5

Explanation:

Look at the picture.

ΔABC and ΔEBD are similar (AA). Therefore the sides are in proportion:

`(AB)/(EB)=(AC)/(ED)`

We have

`AB=40cm\\EB=x\\AC=32cm\\ED=4cm`

Substitute:

`(40)/(x)=(32)/(4)` cross multiply

`32x=(40)(4)`

`32x=160` divide both sides by 32

`x=5`