THe length of a rectangle is twice the width. The area is 200yd^2. What is the length and width. Is this right
L=20
w=10
L * W = 200
L = 2W
Substitute 2W for L in the first equation and solve for W. Once you find W, insert that into the second equation to find L.
I hope this helps. Thanks for asking.
well check it
check #1, yes, length is twice width
check #2, yes, the area is 20*10 = 200
however remember the units
20 Yards by 10 yeards
To find the length and width of the rectangle, let's solve the problem step-by-step.
1. Let's assume the width of the rectangle is "w."
2. According to the problem, the length of the rectangle is twice the width, so the length would be "2w."
3. The area of a rectangle is calculated by multiplying the length and width. We have the equation: Length x Width = Area.
4. Substituting the given values, we have the equation: (2w)w = 200
5. Expanding the equation, we get: 2w^2 = 200
6. Dividing both sides of the equation by 2, we get: w^2 = 100
7. Taking the square root of both sides, we get: w ≈ √100
8. Simplifying the square root, we get: w ≈ 10
9. Therefore, the width of the rectangle is approximately 10yd.
10. To find the length, we substitute the value of w back into the equation: length = 2w = 2(10) = 20
11. Therefore, the length of the rectangle is 20yd.
So, the correct answer is:
Length = 20yd
Width = 10yd
To solve this problem, we can follow these steps:
1. Let's assume the width of the rectangle is "w."
2. Since the length is twice the width, we can express it as "2w."
3. The formula for calculating the area of a rectangle is length multiplied by width.
So, we can set up the equation: Area = Length * Width.
In this case, the area is given as 200yd^2, so we have: 200 = 2w * w.
4. Simplifying the equation, we have: 200 = 2w^2.
5. Dividing both sides of the equation by 2, we get: 100 = w^2.
6. Taking the square root of both sides of the equation, we have: √100 = √(w^2).
This simplifies to: 10 = w.
Therefore, the width of the rectangle is 10 yards.
7. To find the length, we substitute the value of the width (w) into the expression for the length: L = 2w.
L = 2 * 10 = 20.
So, the length of the rectangle is 20 yards.
Therefore, your answer is correct:
Length (L) = 20 yards
Width (w) = 10 yards