Question

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the​ flag's width and length if the length is 460 ft greater than the width.

Answer 1

the flag is 50 feet long and 160 feet wide

Answer 2

Answer: The width is 330 feet and the length is 790 feet.

Explanation:

We will write a system of equations to help us solve. Let w be the width and l be the length.

2w + 2l = 2,240 ft

l = 460 ft + w

Now, we will solve for w, the width, by substituting one equation into the other.

2w + 2l = 2,240 ft, l = 460 ft + w

2w + 2(460 ft + w) = 2,240 ft

2w + 920 ft + 2w = 2,240 ft

4w + 920 ft = 2,240 ft

4w = 1,320 ft

w = 330 ft

The width is 330 feet.

Now, we will solve for l, the length.

l = 460 ft + w, w = 330 ft

l = 460 ft + 330 ft

l = 790 ft

The length is 790 feet.