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

Answer:

AB=6 Units

Step-by-step 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.

$D ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5$

Therefore:

$\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\ Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\ Therefore, AB=6 Units$

Answer 2

Answer:

A)6

Step-by-step explanation: