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?

Answer 1

6 units

Explanation:

edge 2022

Answer 2

AB=6 Units

Explanation:

Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively

• A'B' = 15 Units
• B'C' = 9.5 Units
• BC = 3.8 units

We are to determine the length of AB. To do this, we first determine the dilation factor.

`D$ilation Factor =(B'C')/(BC) =(9.5)/(3.8) =2.5`

Therefore:

`(A'B')/(AB) =2.5\\\\(15)/(AB) =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 / 2.5\\$Therefore, AB=6 Units`