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

Answer:

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%)

Step-by-step explanation:

Answer 2

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=$length \times breadth$

                        =$4 \times 6$

                        =$24 inches^2$

Length of frame 1 = 16 inches

Breadth of frame 1 = 20 inches

Area of frame 1 = $16 \times 20 = 320 inches^2$

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

                                                   = $\frac{24}{320} \times 100$

                                                   = $7.5 %$

Length of frame 2 = 18 inches

Breadth of frame 2 = 24 inches

Area of frame 2 = $18 \times 24 = 432 inches^2$

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

                                                   = $\frac{24}{432} \times 100$

                                                   = $5.56 %$

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

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