Question

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?

Answer 1

16 in × 20 in

Explanation:

1. Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

=4*6=24 in²

Area of frame=Length by width

=16*20=320 in²

% of the picture in the frame will be

(24/320) * 100% =7.5%

2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

=18*24=432 in²

% of the picture in the frame will be;

(24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.