Answer:
(c) 9 3/5
Step-by-step explanation:
This is a ratio question. We can work with the dimensions as fractions and solve through cross-multiplication.
Dimensions of the first painting:
8/20 in.
Possible dimensions of the second painting:
24/x in.
x/24 in.
There are two options, because the given 24 inches may be either a length or width of the painting.
Now, we can use cross-multiplication to try to find x in both scenarios.
Scenario #1
8/20=24/x
8x=480
x=60 in.
60 in. is not an answer. Let's try the other scenario.
Scenario #2
8/20=x/24
192=20x
9.6 in.=x
9.6 can also be written as 9 3/5, which is option C.