In a rectangle model, the length is (r+2) and the breadth is (r+3). What is the total area?

Correct answer: r²+5r+6

The correct answer is C: r²+5r+6. The area of a rectangle is length × breadth, so calculate (r+2)(r+3). Multiply every term in the first bracket by every term in the second: r·r=r², r·3=3r, 2·r=2r, and 2·3=6. Adding these four regions gives r²+3r+2r+6=r²+5r+6. Option A omits both cross-products and keeps only r² and 6. Option B lists the two cross-products but omits the constant 6 and does not combine like terms. Option D has the right terms but incorrect coefficients: the cross-products total 5r, not 6r, and the constant is 6, not 5. Memory cue: for (r+m)(r+n), the expansion is r²+(m+n)r+mn.