Answer:
The system of equation used to find the dimension of the wooden deck in feet are [tex]\left \{ {{l=4w-5} \atop {90=2(l+w)}} \right.[/tex].
Step-by-step explanation:
Given:
Perimeter of deck = 90 feet.
We need to find the system of equation used to determine the dimension in feet of the wooden deck.
Solution:
Let the length of the deck be 'l'.
Let the width of the deck be 'w'.
Now Given:
The deck's length, l, is 5 feet less than 4 times its width, w.
So we can say that;
Length of the deck is equal to 4 times width minus 5.
framing in equation form we get;
[tex]l=4w-5[/tex] ⇒ Equation 1
Now we know that;
Perimeter of the rectangle is given by 2 times Length times width of the rectangular deck.
framing in equation form we get;
[tex]90=2(l+w)[/tex] ⇒ Equation 2
Hence The system of equation used to find the dimension of the wooden deck in feet are [tex]\left \{ {{l=4w-5} \atop {90=2(l+w)}} \right.[/tex].
