Question

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,440 ft Determine the flag's width and length if the length is 260 ft greater than the width.

Answer 1

To find the dimensions of the flag with a perimeter of 2,440 ft and the length being 260 ft greater than the width, we used the perimeter formula for a rectangle. The calculations gave us a width of 480 ft and a length of 740 ft for the flag.

Step-by-step explanation:

The student is asked to determine the width and length of a floral mosaic of a national flag given that the perimeter is 2,440 ft and the length is 260 ft greater than the width.

First, let's define our variables. Let W represent the width of the flag. The length, being 260 ft greater than the width, can be represented as W + 260.

The formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width.

Plugging in the values we have:

1. P = 2(W + 260) + 2W
2. P = 2W + 520 + 2W
3. 2,440 = 4W + 520
4. 2,440 - 520 = 4W
5. 1,920 = 4W
6. W = 480 ft (Width of the flag)
7. L = W + 260
8. L = 480 ft + 260 ft
9. L = 740 ft (Length of the flag)

Therefore, the width of the flag is 480 ft, and the length is 740 ft.