Score: 0 of 1 point The perimeter of a rectangular wooden deck is 60 feet. The deck's length is 5 feet less than four times its width. We are interested in determining the length and the width of the deck. Use the information provided to answer the following questions: (a) Identify what \( x \) and \( y \) should represent in this case. A \( \boldsymbol{x}= \) the deck's length. \( \boldsymbol{y}= \) the deck's width. B \( \boldsymbol{x}= \) the sum of length and width of the deck \( \boldsymbol{y}= \) the deck's shape. c \( x= \) the deck's width \( \boldsymbol{y}= \) the deck. D \( x= \) the deck's perimeter \( y= \) the deck's shape. (b) Translate the first sentence sentence: "perimeter of a wooden deck is 60 ", into a math equation.
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The Deep Dive
To solve this problem, let's think about the definitions of length and width clearly. In option A, we correctly identify \( x \) as the deck's length and \( y \) as the deck's width. This sets up our variables for a straightforward approach! The other options mix up concepts or don’t pertain to the dimensions we are seeking. Now, for translating the perimeter condition into a mathematical equation: The perimeter \( P \) of a rectangle is given by the formula \( P = 2(x + y) \). Since we know the perimeter is 60 feet, we can write the equation as \( 2(x + y) = 60 \). This simplifies to \( x + y = 30 \) when we divide both sides by 2. This equation provides us a foundational piece to work with in our calculations!
