Answer:
L = 6 units
Step-by-step explanation:
The problem is stating that the perimeter and area are equal to each other. We can use the known equations, plug in the value of 3 it gives us for the width, and solve for the length.
P = 2L + 2W
A = L * W
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P = 2L + 2(3)
A = L * 3
We know that the perimeter is equal to the area, so I am going to set the two equations I have equal to each other and solve for L, or the length.
P = 2L + 2(3)
A = L * 3
-
2L + 2(3) = L * 3
2L + 6 = 3L - In this step I subtract 2L from both sides of the equation
6 = L
L = 6 units
