Answer: The system of linear equations are
L + W = 45
L = 4W - 5
Explanation:
Let L represent the length of the deck.
Let W represent the width of the deck.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2( length + width)
The perimeter of a rectangular wooden deck is 90 feet. This would be expressed as
90 = 2(L + W)
Dividing through by 2
L + W = 45
The deck's length,L is 5 less than 4 times its width, W. This is expressed as
L = 4W - 5