Question

Nick has a picture of his dog that is 16 cm long and 10cm wide. If he enlarges the
picture in the ratio 5:2, what are the new dimensions?​

Answer 1

Answer:

25x16

Step-by-step explanation:

16cm/10cm = 8/5

this is enlarged to 5/2 ratio

(8/5)*X = 5/2

X = (5/2)x(5/8) = 25/16

length = 25cm

width = 16cm

Answer 2

Answer:

The new dimensions of picture of Nick's dog will be 40cm long and 25cm wide.

Step-by-step explanation:

Given: length of the picture, $L=16cm$

Width of the picture, $W=10cm$

The aspect ratio of the picture will be $8:5$

After the enlargement of picture with ratio $5:2$,

The new dimensions of the picture will be:

The new length $=\frac{5}{2} *16=40cm$

The new width$=\frac{5}{2}*10=25cm$

After the enlargement the aspect ratio of the picture will remain same

$40:25$ ⇒  $8:5$

Therefore the new dimensions will be 40cm×25cm after the expansion of the picture.