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 of the length is 70 feet greater than the width.

The width is w

The length is w + 70

Perimeter: p = 2 (l + w) and = 500

Substitute what you know:

500 = 2 (w + 70 + w)

Combine like terms:

500 = 2 (2w + 70)

Distribute 2 to both terms

500=4w-140

640 = 4w

w = 640/4 = 160 feet L = w + 70 = 160 + 70 = 230 ft.