A picture has a length of 19 inches and height of 15 inches with a picture frame of uniform with around it if the area of the picture and frame is 437 in.² find the width of the frame

Question

Please answer algebraically and show steps. I NEED HELP PLEASE HELP ME SOLVE THIS PLEASE.

Answer 1

(19+2w)(15+2w) = 437 in^2

4w^2 + 68w = 437 - 275= 162

divide by 4

w^2 +17w = 81/2

complete the square

w +17w + 17^2/2^2 = 81/2+ 72.25

(w+ 8.5 )^2 = 112.75

w = -8.5 + sqr112.75 inches =

width= about 2.62 in