what is the symbolic representation of the width and height of a rectangle in a 16:9 ratio in terms of X?
To determine the symbolic representation of the width and height of a rectangle in a 16:9 ratio in terms of X, we can use the following steps:
Step 1: Assign a variable for the width. Let's call it "W".
Step 2: Assign a variable for the height. Let's call it "H".
Step 3: Write the ratio of width to height as 16:9.
Step 4: Use the variable "X" to represent a common factor in both the width and the height.
Step 5: Express the width and height in terms of X using the ratio.
To find the width, we can say that:
W / H = 16 / 9
Since we are looking for the symbolic representation in terms of X, we can express the width as:
W = 16X / 9
Similarly, for the height:
H = 9X / 9
Simplifying for the height, the expression becomes:
H = X
Therefore, the symbolic representation of the width and height of a rectangle in a 16:9 ratio in terms of X is:
Width (W) = 16X / 9
Height (H) = X