Question 1158665
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L = length of rectangle = unknown
W = width of rectangle = 3 units
P = perimeter of rectangle
P = 2L+2W
P = 2L+2*3
P = 2L+6


A = area of rectangle
A = L*W
A = L*3
A = 3L


The area and perimeter are the same, so we can equate the expressions found to solve for L
A = P
3L = 2L+6
3L-2L = 6
L = 6


<font color=red>Answer: The length is 6 units</font>


Check:
P = 2L+2W
P = 2*6+2*3
P = 12+6
P = 18
The perimeter is 18 units when we have a length of 6 units and width of 3 units.


A = L*W
A = 6*3
A = 18
The area is the same as the perimeter. The answer has been confirmed.
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