You have a 4 in. x 6in. family picture that you want to resize. you can choose from a 16 in. x 20 in. or an 18 in. x 24 in. which size will keep more of the original picture? a 4 inch

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=

                        =

                        =

Length of frame 1 = 16 inches

Breadth of frame 1 = 20 inches

Area of frame 1 =

So, % of picture can fit in frame 1=

                                                   =

                                                   =

Length of frame 2 = 18 inches

Breadth of frame 2 = 24 inches

Area of frame 2 =

So, % of picture can fit in frame 2 =

                                                   =

                                                   =

Since % of picture can fit in frame 1 is more than frame 2 .

So, 16 in. X 20 in will keep more.