In a grid, x and 3 are written across the top, while x and 2 are written down the side. What is the total area of the grid?

Correct answer: \(x^2+5x+6\)

The correct answer is A. The labels across the top combine to give the total length \(x+3\), and the labels down the side combine to give the total width \(x+2\). The grid’s area is therefore \((x+3)(x+2)\). Multiply each part: \(x\cdot x=x^2\), \(x
ot
eed o2=2x\), \(3
ot
eed ox=3x\), and \(3
ot
eed o2=6\). Adding them gives \(x^2+2x+3x+6=x^2+5x+6\). A is correct. B incorrectly swaps the middle coefficient and constant. C omits the contributions involving 3 and 6. D includes the right terms but assigns the wrong coefficients. Memory cue: in a grid, multiply every top label by every side label, then combine like terms.