The perimeter of a soccer field is 238m. The length is 36m greater than the width. What are the lengths and width of the soccer field? URGENT!
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Let's call the width of the field "x". Since the length is 36m greater than the width, we can say the length is "x + 36".
To find the perimeter, we add up all the sides:
2(length) + 2(width) = perimeter
So, we get the equation:
2(x + 36) + 2x = 238
Now let's solve it step by step, shall we?
First, simplify the equation:
2x + 72 + 2x = 238
Combine like terms:
4x + 72 = 238
Then, subtract 72 from both sides:
4x = 166
Finally, divide both sides by 4:
x = 41.5
Now that we have the width, we can find the length by adding 36 to it:
x + 36 = 41.5 + 36 = 77.5
So, the width is 41.5m and the length is 77.5m. Enjoy the game, and remember, laughter is the best goal-getter!
Let's assume the width of the soccer field is represented by "w".
Since the length is 36m greater than the width, the length can be represented as "w + 36".
The formula to calculate the perimeter of a rectangle is: 2(length + width).
Substituting the given values into the formula, we have:
2(w + 36 + w) = 238
Simplifying the equation, we get:
2(2w + 36) = 238
4w + 72 = 238
Subtracting 72 from both sides:
4w = 238 - 72
4w = 166
Dividing both sides by 4:
w = 166 / 4
w = 41.5
So the width of the soccer field is 41.5m.
To find the length, we can substitute the width value back into the equation:
length = w + 36
length = 41.5 + 36
length = 77.5
Therefore, the width of the soccer field is 41.5m and the length is 77.5m.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the width of the soccer field is "w" meters. Since the length is 36 meters greater than the width, the length is "w + 36" meters.
The perimeter of a rectangle is calculated by adding up all the sides. In this case, the perimeter is given as 238 meters, so we can set up the equation:
2w + 2(w + 36) = 238
Now let's solve this equation step by step:
2w + 2(w + 36) = 238
2w + 2w + 72 = 238 (distribute the 2)
4w + 72 = 238 (combine like terms)
4w = 238 - 72 (subtract 72 from both sides)
4w = 166
w = 166 / 4 (divide both sides by 4)
w = 41.5
So, the width of the soccer field is 41.5 meters.
Now, let's find the length:
l = w + 36
l = 41.5 + 36
l = 77.5
Therefore, the width of the soccer field is 41.5 meters and the length is 77.5 meters.
L = W + 36
2L + 2W = 2(W+36) + 2W = 238
Solve for W then L.