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?a 4 inch

Answer 1

24/18=1.333

20/16=1.25

6/4=1.5 (the ratio to achieve9

1.333 is more close to 1.5 than 1.25 (11% difference compared to 17%)

Explanation:

Answer 2

16 in. X 20 in will keep more.

Explanation:

Length of picture = 4 inches

Breadth of picture = 6 inches

Area of picture=
`length  * breadth`

=
`4 * 6`

=
`24 inches^2`

Length of frame 1 = 16 inches

Breadth of frame 1 = 20 inches

Area of frame 1 =
`16 * 20 = 320 inches^2`

So, % of picture can fit in frame 1=
`\frac{\text{original picture area }}{\text{Frame 1 area }} * 100`

=
`(24)/(320) * 100`

=
`7.5 %`

Length of frame 2 = 18 inches

Breadth of frame 2 = 24 inches

Area of frame 2 =
`18 * 24 = 432 inches^2`

So, % of picture can fit in frame 2 =
`\frac{\text{original picture area }}{\text{Frame 1 area }} * 100`

=
`(24)/(432) * 100`

=
`5.56 %`

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

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