Question

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,320 ft Determine the flag's width and length if the length is 400 ft
greater than the width.
The flag's width is
_? ft. Its length is
_? ft.

Answer 1

Answer: 380 ft and 780 ft

Step-by-step explanation:

We can assume that the flag is a rectangle. If the width of the flag is w, then the length is w + 400.

The formula for the perimeter of a rectangle is $2(l+w)$. Let's plug in the values we know.

$P=2(l+w)\\2320=2(w+400+w)\\1160=2w+400\\760=2w\\w=380$

We know that the length is 400 more than the width, so let's find the length.

$l=w+400\\l=380+400=780$

Hence, the flag's width is 380 ft and the length is 780 ft.