the length of a rectangular portrait is 2.5 times the width. the perimeter is 28 feet. what is the length of the portrait
P=2(L+w)
28=2(2.5w+w)
28/2=3.5w
14/3.5=w
w=4
I found the width for you now use that information to find the length. I also gave the formula for the perimeter of a rectangle.
the answer is
10
To find the length of the portrait, we need to use the information provided about the length and width ratio and the perimeter.
Let's assume the width of the portrait is W.
According to the given information, the length of the portrait is 2.5 times the width. So, the length is 2.5W.
The perimeter of a rectangle is given by the formula: P = 2(length + width)
Substituting the values given, we get: 28 = 2(2.5W + W)
Simplifying the equation: 28 = 2(3.5W)
Dividing both sides by 2: 14 = 3.5W
Next, we can solve for W by dividing both sides by 3.5: W = 14 / 3.5
Simplifying further, we find that W = 4.
Now, we can find the length of the portrait by substituting the width value we found back into the length equation: Length = 2.5W = 2.5 * 4 = 10 feet.
Therefore, the length of the portrait is 10 feet.
To find the length of the portrait, we can set up a system of equations based on the given information.
Let's assume the width of the portrait is "W" feet.
According to the problem, the length of the portrait is 2.5 times the width. So, the length would be 2.5W feet.
The perimeter of a rectangle can be calculated by adding up all the sides. In this case, the perimeter is given as 28 feet.
So, we can set up the equation:
2W + 2(2.5W) = 28
Let's simplify the equation:
2W + 5W = 28
7W = 28
Now, divide both sides of the equation by 7 to isolate W:
W = 28 / 7
W = 4
So, the width of the portrait is 4 feet.
To find the length, we can substitute the value of W (4) into the earlier equation:
Length = 2.5W = 2.5 * 4 = 10
Therefore, the length of the portrait is 10 feet.