Q:

14. Michelle simplified an expression for the perimeter of the rectangle below and got X + 35.Explain her error, and include the correct expression for the perimeter.X + 23I CAN SIMPLIFY EXPRESSIONS BY EXPANDING WITH THE DISTRIBUTIVE PROPERTY.8.EESimplify the expression. 6. Simplify the expression. 17. Simplify the expression2(5/6x+23)

Accepted Solution

A:
Answer:The correct expression for the perimeter is [tex]P=(\frac{5}{3}x+70)\ units[/tex]see the explanationStep-by-step explanation:The complete question in the attached figureLetL ----> the length of rectangleW ---> the width of rectanglewe know thatThe perimeter of rectangle is equal to[tex]P=2(L+W)[/tex]In this problem we have[tex]L=(\frac{5}{6}x+23)\ units[/tex][tex]W=12\ units[/tex]substitute the values[tex]P=2(\frac{5}{6}x+23+12)[/tex][tex]P=2(\frac{5}{6}x+35)[/tex][tex]P=(\frac{10}{6}x+70)\ units[/tex]Simplify[tex]P=(\frac{5}{3}x+70)\ units[/tex]so Michelle didn't multiply the sum of length and width by 2