Question

A seed company planted a floral mosaic of a national flag. The perimeters of the flag are 2,220 ft. Determine the flag's width and length if the length is 370 greater than the width.

Answer 1

The width of the flag is 370 ft and the length is 740 ft.

Step-by-step explanation:

Let the width of the flag be x ft. Since the length is 370 ft greater than the width, the length can be written as x + 370 ft.

The perimeter of a rectangle is given by 2(Length + Width), so we have:

2(x + 370 + x) = 2,220 ft

Simplifying this equation, we get:

4x + 740 = 2,220 ft

Subtracting 740 ft from both sides, we get:

4x = 1,480 ft

Dividing by 4, we find:

x = 370 ft

Therefore, the width of the flag is 370 ft and the length is x + 370 ft, or 740 ft.