Question

A 3.5 inch-by-5 inch image is being enlarged by

a scale factor of x. Express the area of the
enlarged image in terms of x.

Answer 1

side of image = 3.5 inch and 5 Inch

Area = 3.5 × 5 = 17.5 inch²

Now length is Enlarge by x

new length and Breadth are (3.5+x) and (5+x)

Area of new Image =(x+3.5)(x+5)

Area of new Image = x² + 5x + 3.5x + 17.5

Area of new Image = x² + 8.5x + 17.5

i hope it's helpful