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Answer
The length of the deck should be 20 feet.
Solution
To solve this problem, we can use the formula for the perimeter of a rectangle, which is given by
Given that the width is 10 feet less than the length, we can express the width in terms of the length as
The perimeter of the deck is given as 60 feet. Substituting the expressions for the width and the perimeter into the formula for the perimeter, we get:
Simplifying this equation will allow us to find the length of the deck.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Swap the sides:
- step2: Move the expression to the left side:
- step3: Calculate:
- step4: Move the constant to the right side:
- step5: Remove 0:
- step6: Divide both sides:
- step7: Divide the numbers:
The length of the deck should be 20 feet.
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Simplify this solution Bonus Knowledge
To determine the dimensions of the deck, we can set up some equations. Let’s denote the width of the deck as
Substituting in the perimeter value of 60 feet, we have:
Simplifying this equation:
Now we can find the length:
Thus, the dimensions of the deck should be 10 feet wide and 20 feet long!
If you’re ever in a brainstorming session about deck designs, remember that proportionality is key! Building a great outdoor space is all about finding the right spacing to make it functional and aesthetically pleasing. Always sketch out your ideas before diving into the build to avoid any costly mistakes!
When planning your deck or any project, be cautious about the edges and spaces. Many people forget about the space needed for things like railings or furniture, which can shrink your usable area significantly. Always account for these extra elements when calculating final dimensions!
