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System Message

[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)

[00:00:00] I need help with this problem: Solve the equation by factoring. Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 144 m(squared). Find the length of each side of the original garden.

Jordan R (Tutor)

[00:00:08] hi there!

Guest (Customer)

[00:00:31] hello

Jordan R (Tutor)

[00:00:39] Can you tell me what's confusing you, so we can figure out how to work on this together?

Guest (Customer)

[00:00:49] Im not sure how to startr

[00:00:52] *start

Jordan R (Tutor)

[00:01:10] okay well let's look at what we know

Guest (Customer)

[00:01:17] ok

Jordan R (Tutor)

[00:01:33] we know that the total area is 144m

[00:02:16] and how can we write the area for a square?

Guest (Customer)

[00:02:43] 7 m?

Jordan R (Tutor)

[00:03:26] well just in general

[00:03:34] how can we find the area of a square?

Guest (Customer)

[00:03:52] by multiplying all the sides
together

[00:04:07] i mean the length times width

Jordan R (Tutor)

[00:04:17] right!

[00:04:23] and since it's a square

[00:04:32] the width and length are the same

Guest (Customer)

[00:04:39] I'm following...

Jordan R (Tutor)

[00:05:05] and what are we trying to solve for in this problem?

Guest (Customer)

[00:05:31] the length of each side of the
original garden

Jordan R (Tutor)

[00:05:39] right

[00:05:50] and we don't know what the original length was

[00:05:58] but we know that the new length

[00:06:07] is the old length + 7

[00:06:09] right?

Guest (Customer)

[00:06:12] yes

Jordan R (Tutor)

[00:06:37] so we'll write the length as x+7

[00:07:12] does that make sense?

Guest (Customer)

[00:07:18] yes

Jordan R (Tutor)

[00:07:23] okay great!

[00:07:32] so now what can we do to find x?

Guest (Customer)

[00:07:59] would i use that equation

?

Jordan R (Tutor)

[00:08:03] perfect!

[00:08:14] and what can we do now?

Guest (Customer)

[00:08:35] umm im not sure:/

Jordan R (Tutor)

[00:08:48] well we want x by itself

[00:08:56] so let's start by taking the square root

[00:09:16] does that make sense?

Guest (Customer)

[00:09:19] oh yea

[00:09:20] ok

Jordan R (Tutor)

[00:09:39] and what is our last step?

Guest (Customer)

[00:09:52] subtract 7 from both sides?

Jordan R (Tutor)

[00:09:58] great!

Guest (Customer)

[00:11:01] so the answer would be 5 m?

Jordan R (Tutor)

[00:11:06] so we find that our original length is 5m

[00:11:08] right!

[00:11:37] Do you have any questions about anything we went over today?

Guest (Customer)

[00:11:42] nope

[00:11:46] thanks for your help

[00:11:49] goodbye

Jordan R (Tutor)

[00:11:55] you're very welcome!

[00:11:59] have a great night!