The perimeter of a rectangular wooden deck is 90 feet. The deck's length, l, is 5 feet less than 4 times its width, w. Write a system of linear equations that can be used to determine the dimensions (length and width), in feet, of the wooden deck?

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 .

Step-by-step explanation: