To find the dimensions of the Puerto Rican flag given its perimeter, we start by recalling the formula for the perimeter of a rectangle:
[tex]\[ P = 2 \times (\text{length} + \text{width}) \][/tex]
We are given that the perimeter is 150 inches. Putting this into the formula, we get:
[tex]\[ 2 \times (\text{length} + \text{width}) = 150 \][/tex]
To simplify this equation, we divide both sides by 2:
[tex]\[ \text{length} + \text{width} = 75 \][/tex]
Now, we need to solve for the length and the width. Without any additional information regarding the specific ratio between the length and width, we can propose a simple assumption. A reasonable assumption is that the length and width are equal, making the flag a square.
Assuming the dimensions are equal, we get:
[tex]\[ \text{length} = \text{width} \][/tex]
Substituting this into our simplified equation, we get:
[tex]\[ \text{length} + \text{length} = 75 \][/tex]
This can be rewritten as:
[tex]\[ 2\text{length} = 75 \][/tex]
Dividing both sides by 2, we find:
[tex]\[ \text{length} = 37.5 \][/tex]
Since the dimensions are equal,
[tex]\[ \text{width} = 37.5 \][/tex]
So, the dimensions of the Puerto Rican flag are:
- Length: 37.5 inches
- Width: 37.5 inches
### Summary:
The equation we solved is:
[tex]\[ 2 \times (\text{length} + \text{width}) = 150 \][/tex]
[tex]\[ \text{length} + \text{width} = 75 \][/tex]
Labeling the dimensions:
Length = 37.5 inches
Width = 37.5 inches
Thus, the dimensions of the Puerto Rican flag are 37.5 inches by 37.5 inches.
