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Answer:
The system of equation used to find the dimension of the wooden deck in feet are .
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;
⇒ 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;
⇒ Equation 2
Hence The system of equation used to find the dimension of the wooden deck in feet are .