The perimeter is 38.8 millimeters and the length is 2.4 times the width. (Round your answers to one decimal place.
Do you want to find the width?
Find the dimensions of the rectangle meeting the specified conditions
P = 2L + 2W
38.8 = 2(2.4W) + 2W
38.8 = 4.8W + 2W
38.8 = 6.8W
5.71 = W
5.71 * 2.4 = L
To find the length and width, we can set up a system of equations based on the given information.
Let's assume the width of the shape is "w".
According to the given information, the length is 2.4 times the width, so the length would be 2.4w.
The perimeter of a shape is the sum of all its sides. In this case, the perimeter is given as 38.8 millimeters.
The formula for the perimeter of a rectangle is: 2(length + width).
Using this formula, we can create an equation:
2(2.4w + w) = 38.8
Now, let's solve for w:
2(3.4w) = 38.8
6.8w = 38.8
w = 38.8 / 6.8
w ≈ 5.7 (rounded to one decimal place)
The width of the shape is approximately 5.7 millimeters.
To find the length, we can substitute the value of the width back into the equation for length: length = 2.4w.
length = 2.4 * 5.7
length ≈ 13.7 (rounded to one decimal place)
The length of the shape is approximately 13.7 millimeters.