Answer:
x=5
Step-by-step explanation:
First you want to simplify each shape's perimeter formula.
In this case, we'll call the rectangle A and the triangle B.
1) Address the information (L=Length, W=Width)
A= 2L+2W
B= 2L + W
(Now you add in the information)
A= [2(3x-3) + 2(x-3)]
B= [2(2x-1) +2x]
2) Start to Solve (start by multiplying the 2s by the parentheses)
A=6x-6 +2x-6
B= 4x-2 +2x
3) Combine Like Terms
A= (6x+2x) + (-6 +-6) -> 8x-12
B= (4x+2x) -2 -> 6x-2
4) Now that you've simplified, set both areas as equals to Solve for x
8x-12=6x-2
5) Combine Like Terms. Start by subtracting 6x over. (You subtract to cancel out the positive 6x on the one side, so you can bring it over as a negative)
8x-12=-2
-6x
2x-12=-2
6) Combine Like Terms. Add 12 to both sides (to cancel out the one side's 12)
2x=-2
+12
7) Solve for x.
<u>2x</u>=<u>10</u>
2. 2
x=5
If unsure of answers, you can also plug your answer into the formula to see if your answer was correct. In this case, both shapes have a perimeter of <u>28</u>.
