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 a width if the length is 30 feet greater than the width width

Answer 1

The perimeter of the flag is P = 500 ft.

Let the widt of the flag be w, then length of the flag is l = (30 + w).

The formula for the perimeter of the flag is,

$P=2(l+w)$

Substitute the expressions in the formula to obtain the dimensions of the flag.

$\begin{gathered} 500=2(30+w+w) \\ 30+2w=250 \\ 2w=220 \\ w=\frac{220}{2} \\ =110 \end{gathered}$

Determine the length of the flag.

$\begin{gathered} l=110+30 \\ =140 \end{gathered}$

So length of the flag is 140 feet and width of the flag is 110 feet.