Question

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 if the length is 90 feet greater than the width. Use pencil and paper.

Answer 1

Let's represent the width of the flag with 'w'. Then, according to the problem, the length would be 'w + 90'.

We know that the perimeter of a rectangle is given by:

P = 2(length + width)

Substituting the values from the problem, we get:

500 = 2(w + w + 90)

Simplifying, we get:

250 = 2w + 90

2w = 160

w = 80

So, the width of the flag is 80 feet.

And the length of the flag would be:

w + 90 = 80 + 90 = 170 feet.