a rectangular table is two times long as it is wide if the area is 98ft^2 what is the width and length of the table
L*W = 98
L = 2 W
Combining equations,
2 W^2 = 98
W^2 = 49
W = 7 ft
L = ___ ?
L=14
Well, to start, let's call the width of the table "x." That means the length of the table would be 2x, since it's two times as long as it is wide.
Now, to find the area of the table, we use the formula: Area = Width × Length.
So, we have: 98 = x × 2x.
Simplifying that equation, we get: 98 = 2x^2.
Dividing both sides by 2, we are left with: 49 = x^2.
Taking the square root of both sides, we find: x = ±√49.
Since we're dealing with measurements, we'll take the positive square root, which is 7.
Therefore, the width of the table is 7 feet and the length would be twice that, which is 14 feet.
And just like that, we've unraveled the mystery of the table!
To find the width and length of the rectangular table, we need to set up equations based on the given information.
Let's assume the width of the table is "w" ft. Then, according to the problem, the length of the table would be 2w ft.
The area of a rectangle is calculated by multiplying its length and width. In this case, the area is given as 98 ft². So, we can write the equation as:
Area = Length × Width
98 = (2w) × w
Now, let's solve this equation to find the value of "w" (width).
98 = 2w²
Divide both sides by 2:
49 = w²
Taking the square root of both sides:
w = √49
w = 7
Therefore, the width of the table is 7 ft.
Since the length is two times the width, the length would be 2w = 2 × 7 = 14 ft.
Hence, the width of the table is 7 ft, and the length is 14 ft.
To find the width and length of the rectangular table, we can set up an equation based on the given information.
Let's assume the width of the table is "x" feet. Since the length is given as two times the width, we can say that the length is "2x" feet.
The formula for the area of a rectangle is:
Area = Length × Width
Given that the area is 98 ft^2, we can set up the equation:
98 = (2x) × x
Now, we solve this equation to find the value of x, which represents the width of the table.
Let's multiply the terms inside the parentheses:
98 = 2x^2
Now, rearrange the equation to isolate x^2:
2x^2 = 98
Divide both sides of the equation by 2:
x^2 = 49
To solve for x, we need to take the square root of both sides:
√(x^2) = √49
x = ±7
Since the width cannot be negative in this context, we take the positive value:
x = 7
Therefore, the width of the table is 7 feet. Since the length is two times the width, the length of the table would be:
Length = 2x = 2(7) = 14 feet
So, the width of the table is 7 feet, and the length is 14 feet.