Answer:
1) Change the length of side AB to 2 feet
Step-by-step explanation:
Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.
To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:
[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]
We will assume AB is unknown.
PR = 7.5 ft
AC = 2.5 ft
PQ = 6 ft
Plug in the values into the equation
[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]
Cross multiply
[tex] AB*7.5 = 6*2.5 [/tex]
[tex] AB*7.5 = 15 [/tex]
Divide both sides by 7.5
[tex] AB = 2 [/tex]
The architect should change the length of AB to 2 ft
