Question

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,360 ft Determine the​ flag's width and length if the length is 240 ft greater than the width.

Answer 1

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Step-by-step explanation:

Let l be the length of the flag

and

w be the width

Then according to given statement

l = w+240

Perimeter = 2360 feet

The formula for perimeter is given by:

$Perimeter = 2(Length+Width)$

Putting values

$2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w$

Dividing both sides by 2

$\frac{2w}{2} = \frac{940}{2}\\w = 470$

The width is 470 feet

Now,

$l = w+240\\= 470+240\\=710$

Hence,

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Keywords: Perimeter, dimensions

Learn more about perimeter at:

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