Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression:
.
Choose the name of the student who wrote an incorrect expression.
A
Anya: 2�+2�+5�+1+5�+12x+2x+5x+1+5x+12x+2x+5x+1+5x+1
B
Luis: 2(2�)+2(5�+1)2(2x)+2(5x+1)2(2x)+2(5x+1)
C
Katrin: 2(5�+1)+2�2(5x+1)+2x2(5x+1)+2x
D
Steve: 1+1+�(2+2+5+5)1+1+x(2+2+5+5)1+1+x(2+2+5+5)
The student who wrote an incorrect expression is Steve.
The student who wrote an incorrect expression is D. Steve: 1+1+½(2+2+5+5)1+1+x(2+2+5+5)1+1+x(2+2+5+5)
To determine which student wrote an incorrect expression for the perimeter of the given rectangle, we need to analyze each of the expressions provided.
A: Anya's expression - The expression looks overly complex and does not seem to accurately represent the perimeter of the rectangle. It includes extra terms like "12x" and "5x" that are not necessary for calculating the perimeter. Therefore, Anya wrote an incorrect expression.
B: Luis's expression - This expression is in the correct form by using the formula for calculating the perimeter of a rectangle (2 * length + 2 * width). It includes the correct terms and parentheses to represent the dimensions of the rectangle. Therefore, Luis wrote a correct expression.
C: Katrin's expression - Similar to Luis's expression, this expression correctly uses the formula for the perimeter of a rectangle. It includes the correct terms and parentheses to represent the dimensions of the rectangle. Therefore, Katrin wrote a correct expression.
D: Steve's expression - This expression is overly complex and does not represent the perimeter of a rectangle accurately. It involves extra terms like "x" that are not necessary for calculating the perimeter. Therefore, Steve wrote an incorrect expression.
Based on the analysis, the student who wrote an incorrect expression is A - Anya.