Flipo is building a rectangular sandbox for his younger brother.The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet
2 L + 2 w = 29
L = 1 + 2 w
so
2 + 4 w + w = 29
5 w = 27
I have a sneaking suspicion that you have a typo because the text writers always make this stuff come out whole numbers.
To find the dimensions of the sandbox, we can use the given information about the length and width. Let's assume that the width of the sandbox is "w" feet.
According to the problem, the length of the sandbox is 1 foot longer than twice the width. Therefore, the equation to represent this relationship is:
Length = 2w + 1
The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)
Given that the perimeter of the sandbox is 29 feet, we can use the equation to set up the following equation:
29 = 2(2w + 1 + w)
Now, we can solve this equation to find the value of "w," which represents the width of the sandbox.
29 = 2(3w + 1)
Divide both sides by 2:
14.5 = 3w + 1
Subtract 1 from both sides:
13.5 = 3w
Divide both sides by 3:
w = 4.5
Therefore, the width of the sandbox is 4.5 feet. To find the length, substitute this value back into the equation for the length:
Length = 2w + 1
Length = 2(4.5) + 1
Length = 9 + 1
Length = 10
So, the dimensions of the sandbox are 10 feet by 4.5 feet.