Answer:
16 in. X 20 in will keep more.
Step-by-step explanation:
Length of picture = 4 inches
Breadth of picture = 6 inches
Area of picture=[tex]length \times breadth[/tex]
=[tex]4 \times 6[/tex]
=[tex]24 inches^2[/tex]
Length of frame 1 = 16 inches
Breadth of frame 1 = 20 inches
Area of frame 1 = [tex]16 \times 20 = 320 inches^2[/tex]
So, % of picture can fit in frame 1= [tex]\frac{\text{original picture area }}{\text{Frame 1 area }} \times 100[/tex]
= [tex]\frac{24}{320} \times 100[/tex]
= [tex]7.5 %[/tex]
Length of frame 2 = 18 inches
Breadth of frame 2 = 24 inches
Area of frame 2 = [tex]18 \times 24 = 432 inches^2[/tex]
So, % of picture can fit in frame 2 = [tex]\frac{\text{original picture area }}{\text{Frame 1 area }} \times 100[/tex]
= [tex]\frac{24}{432} \times 100[/tex]
= [tex]5.56 %[/tex]
Since % of picture can fit in frame 1 is more than frame 2 .
So, 16 in. X 20 in will keep more.
