A square picture has one-inch frame if the area of the frame alone is 48 square inches what is the area of the picture

Answer 1

Area of the picture inside the frame = LW

area of the frame = (L+2)(W+2) - LW = 48

LW + 2W +2L +4 -LW = 48

W + L + 2= 24

W+L = 22

maximum area = 121 in^2 when W=L=11

minimum area = nearly 0

0 < Area of the Picture inside the frame < 121 in^2

if L=21, W =1 then the frame area = (23)(3) -21 = 69-22 = 48

if L=W =11. then the frame area = (13)(13)-121 = 169-121 = 48