The width of a rectangle is 1/4 it’s late. The perimeter of the rectangle is 400 feet. What is the length, in feet, of the rectangle?
2(l+l/4)=400
l=160?
2(L + L/4) = 400
What is your formula for this question?
Please help, my midterm is due today!!!!
That is the question, they didn’t give me a formula
here
2(L + L/4) = 400
Omg thank you so much!!!!!
Oh Well maybe if the formula is 2 ( l + l/4 ) = 400
then it should be 160
Glad I could help!
To find the length of the rectangle, we can use the information given about its width and perimeter.
Let's start by assigning variables to the width and length. Let's say the width is represented by 'w' and the length is represented by 'l'.
According to the given information, the width is 1/4 of the length. We can write this as an equation: w = (1/4) * l.
The perimeter of a rectangle is calculated by adding up all four sides. In this case, the perimeter is given as 400 feet.
The formula for the perimeter is: P = 2w + 2l.
Since we know the value of the perimeter, we can substitute it into the formula: 400 = 2w + 2l.
Now we have two equations: w = (1/4) * l and 400 = 2w + 2l.
To solve this system of equations, we can use substitution or elimination method. Let's use substitution method:
Substitute the value of 'w' from the first equation into the second equation:
400 = 2((1/4) * l) + 2l.
Simplify the equation:
400 = (1/2)l + 2l.
Combining like terms:
400 = (1/2)l + 4l.
Convert the fractions into a common denominator:
400 = (1/2)l + (8/2)l.
Add the terms:
400 = (1/2 + 8/2)l.
Continue simplifying:
400 = (9/2)l.
Now, to isolate 'l', multiply both sides of the equation by (2/9):
(2/9) * 400 = l.
Solve for 'l':
l = 800/9.
Therefore, the length of the rectangle is 800/9 feet, or approximately 88.89 feet.