{"status": "success", "data": {"description_md": "A rectangle with positive integer side lengths in $\\text{cm}$ has area $A$ $\\text{cm}^2$ and perimeter $P$ $\\text{cm}$. Which of the following numbers cannot equal $A+P$?\n\n$\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108$\n\nAs it originally appeared in the AMC 10, this problem was stated incorrectly and had no answer; it has been modified here to be solvable. This is the original question:\n> A rectangle with side lengths in $\\text{cm}$ has an area of integer $A$ $\\text{cm}^2$ and a perimeter of integer $P$ $\\text{cm}$. Which of the following numbers cannot equal $A+P$?\n> $\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108$", "description_html": "

A rectangle with positive integer side lengths in \\text{cm} has area A \\text{cm}^2 and perimeter P \\text{cm}. Which of the following numbers cannot equal A+P?

\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108

As it originally appeared in the AMC 10, this problem was stated incorrectly and had no answer; it has been modified here to be solvable. This is the original question:

A rectangle with side lengths in \\text{cm} has an area of integer A \\text{cm}^2 and a perimeter of integer P \\text{cm}. Which of the following numbers cannot equal A+P?
\\textbf{(A) }100\\qquad\\textbf{(B) }102\\qquad\\textbf{(C) }104\\qquad\\textbf{(D) }106\\qquad\\textbf{(E) }108

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p21", "prev": "/problem/15_amc10A_p19"}}