Select the correct answer. Joe wants to enlarge the rectangular pumpkin patch located on his farm The pumpkin patch is currently 40 meters wide and 60 meters long. The new pumpkin patch will be 3x meters wider and 5x meters longer than that of the original pumpkin patch. Which of the following functions will give the area of the new pumpkin patch in square meters? A. f(x)=15x^2 B. f(x)=15x^2+420x+2,400 C. f(x)=15x^2+380x+2,400 D. f(x)=15x^2+2,400

To find the area of the new pumpkin patch, we need to multiply the width by the length. <br /><br />The new width will be 40 + 3x meters, and the new length will be 60 + 5x meters. <br /><br />So, the function that gives the area of the new pumpkin patch in square meters is:<br /><br />$f(x) = (40 + 3x)(60 + 5x)$<br /><br />Expanding this expression, we get:<br /><br />$f(x) = 2400 + 200x + 15x^2$<br /><br />Therefore, the correct answer is:<br /><br />C. $f(x)=15x^{2}+380x+2,400$