Answer:
54
Explanation:
The ratio of 6 to 4 between the length and the with means that if the length was 6, the width would be 4.
We can represent this in a table:
Length Width
6 ⇒ 4
and we need to find the length for a picture frame that has a width of 36. If we represent the length of the picture frame by x, and we update the previous table:
Length Width
6 ⇒ 4
x ⇒ 36
The value of x (the length) can be found by the rule of three: Multiply the cross quantities in the last table ( 6 by 36) and divide the result by the remaining value (4).
We get the following for x:
x = 6*36/4
x= 216 / 4
x = 54
The length is 54.
Another way to find the result is:
The width of the frame (36) is 9 times more than the width that the ratio indicates (4). Because
4*9 = 36
thus, the same must be true for the relationship between the length in the indicated ratio and the length of the frame (9 times bigger):
6*9 = 54
we also get 54 as the result.