Question

A picture frame of width y surrounds a 6 by 8 inch photograph. Find an expression to represent the area of the

picture frame.

Answer 1

`area = (6 + 2y) * (8 + 2y)`

Explanation:

when we visualize this problem, we see that for each dimension, we add 2y to its size. for width, we add y for the left and right sides of the frame, and for height, we add y for the top and bottom parts.

this gives us the dimensions of the frame in terms of the dimensions of the picture and y:

the frame is (6+2y) by (8+2y)

the area of a rectangle is calculated by multiplying its side-lengths, so we get:

`area = (6 + 2y) * (8 + 2y)`