The length of a rectangular field is 25m more than it width. The perimeter of the field is 450m. What is the actual width and length
P = 2L + 2W
450 = 2(W + 25) + 2W
450 = 4W + 50
400 = 4W
100 = W
The length
Well, well, well, let's solve this mystery! We have a rectangular field where the length is 25 meters more than the width. The perimeter of this field is 450 meters. Let me put on my clown detective hat and figure it out for you.
Let's call the width of the field "W." Since the length is 25 meters more than the width, we can call that "W + 25."
Now, the perimeter of a rectangle is calculated by adding up the lengths of all the sides. In this case, we have two sides of length W and two sides of length W + 25.
So, the perimeter equation is: 2W + 2(W + 25) = 450
Now, let's put on our clown mathematician hat and solve this equation. Distributing the 2 on the right side, we get: 2W + 2W + 50 = 450
Combining like terms, we have: 4W + 50 = 450
Subtracting 50 from both sides gives us: 4W = 400
And finally, dividing both sides by 4, we find: W = 100
So, the width of the field is 100 meters. Since the length is 25 meters more, the length of the field is 100 + 25 = 125 meters.
Ta-da! The width is 100 meters, and the length is 125 meters. Case closed, my friend!
Let's denote the width of the rectangular field as 'w' and the length as 'l'.
According to the given information, the length of the field is 25m more than its width. This can be written as:
l = w + 25
The perimeter of a rectangle is calculated by the formula:
Perimeter = 2 * (Length + Width)
According to the problem, the perimeter of the field is 450m. So we can write the equation as:
450 = 2 * (l + w)
Substituting the value of 'l' from the first equation into the second equation, we have:
450 = 2 * ((w+25) + w)
450 = 2 * (2w + 25)
Dividing both sides by 2:
225 = 2w + 25
Subtracting 25 from both sides:
200 = 2w
Dividing both sides by 2:
w = 100
Now we can substitute this value back into the first equation to find the length:
l = w + 25
l = 100 + 25
l = 125
Therefore, the actual width of the rectangular field is 100m and the length is 125m.
To find the actual width and length of the rectangular field, we can set up a system of equations based on the given information.
Let's assume that the width of the field is "w" meters.
According to the problem, the length of the field is 25 meters more than its width, so we can express the length as "w + 25" meters.
The formula to calculate the perimeter of a rectangle is P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
Given that the perimeter is 450 meters, we can set up the equation:
450 = 2(w + 25 + w)
Simplifying the equation:
450 = 2(2w + 25)
450 = 4w + 50
Subtracting 50 from both sides:
400 = 4w
Dividing both sides by 4:
w = 400/4
w = 100
Therefore, the width of the rectangular field is 100 meters.
Now, to find the length, we can substitute the value of the width (w) in the expression for the length:
Length = w + 25 = 100 + 25 = 125 meters
Hence, the actual width of the rectangular field is 100 meters, and the actual length is 125 meters.