A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 500 feet. Determine the flag's length and width if the length is 130 feet greater than the width.
What is the flag's width?
2 L + 2 w = 500
but L = (130 + w)
(260 + 2w) + 2w = 500
4 w = 240
w = 60
L = 190
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check
190 - 60 = 130
2 w + 2 L = 120 + 380 = 500, whew!
To determine the width of the flag, we can set up an equation based on the given information.
Let's assume that the width of the flag is x feet. According to the problem, the length of the flag is 130 feet greater than the width. Therefore, the length of the flag is x + 130 feet.
The perimeter of the flag is the sum of all its sides. For a rectangular shape, the perimeter is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, we know that the perimeter of the flag is 500 feet. So we can write the equation as follows:
500 = 2 * (x + (x + 130))
Simplifying the equation, we get:
500 = 2 * (2x + 130)
250 = 2x + 130
2x = 250 - 130
2x = 120
x = 120 / 2
x = 60
Therefore, the width of the flag is 60 feet.