Question

A seed Company planted a floral mosaic of a national flag. The perimeter of the flags 540 feet. Determine the flags length and width if the length is 110 feet greater than the width use a pencil and paper read the three situations to which you could apply the resulting system of equations

Answer 1

Answer:

Length of the flag is 190 feet and width of the flag is 80 feet.

Step-by-step explanation:

Given:

Perimeter of the flag = 540 feet

We need to find the length and width of the flag.

Let the length of flag be 'l'.

Let the width of the flag be 'w'.

Now given:

length is 110 feet greater than the width

Length of the flag $l = 110+w$

Now we know that,

Flag is in rectangular shape.

So Perimeter of rectangle is given by 2 times sum of length and width.

framing in equation form we get;

$2(l+w) =540$

Now dividing both side by 2 we get;

$\frac{2}{2}(l+w)=\frac{540}{2}\\\\l+w =270$

Now Substituting the value of 'l' in above equation we get;

$110+w+w=270\\\\110+2w=270$

Subtracting both side by 110 we get;

$110+2w-110=270-110\\\\2w= 160$

Dividing both side by 2 we get;

$\frac{2w}{2}=\frac{160}{2}\\\\w=80\ ft$

Width = 80 feet

Length $l =110+w =110+80 =190 \ ft$

Hence Length of the flag is 190 feet and width of the flag is 80 feet.