A rectangle's length is three times its width. Its perimeter is 67 feet. What are the dimensions of the rectangle?
2(w + 3w) = 67
8w = 67
...
No
To find the dimensions of the rectangle, we'll need to set up and solve equations based on the given information.
Let's assume that the width of the rectangle is "w" feet.
According to the problem, the length of the rectangle is three times its width, which means the length is 3w feet.
The formula for calculating the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
Substituting our values into the equation, we have:
67 = 2 * (3w + w)
Simplifying the equation:
67 = 2 * (4w)
67 = 8w
To isolate "w" on one side, we divide both sides of the equation by 8:
w = 67/8
w ≈ 8.375
Since the value of "w" represents the width, it cannot be in decimal form for the dimensions of a rectangle. Therefore, we'll round it to the nearest whole number, making the width "w" approximately equal to 8.
Using the width, we can find the length:
Length = 3 * Width
Length = 3 * 8
Length = 24
So, the dimensions of the rectangle are approximately 8 feet for the width and 24 feet for the length.