Question

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB? 6 units 7.6 units 9.5 units 12 units

Answer 1

A. 6 units

Explanation:

I got it right on edge.

Answer 2

`AB = 6`

Explanation:

Given

`BC = 3.8`

`A'B' = 15`

`B'C' = 9.5`

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

`A'B' : AB = B'C' : BC`

Substitute values for A'B', B'C' and BC

`15 : AB = 9.5 : 3.8`

Express the ratio as fractions:

`(AB)/(15) = (3.8)/(9.5)`

Multiply through by 14

`15 * (AB)/(15) = (3.8)/(9.5) * 15`

`AB = (3.8)/(9.5) * 15`

`AB = (3.8* 15)/(9.5)`

`AB = (57)/(9.5)`

`AB = 6`