A rectangle has a length that is 10 less than 3 times the width. If the rectangle has an area of 8 square feet, what is the width of the rectangle.

I have to find the answer in meters, some please give some assistance.

To solve this problem, we need to set up an equation based on the given information.

Let's say the width of the rectangle is represented by 'w' (in feet).
According to the problem, the length is 10 less than 3 times the width, which can be expressed as (3w - 10).

The formula for the area of a rectangle is length multiplied by width, so we have:
Area = length * width
8 = (3w - 10) * w

Now, let's solve this equation step by step to find the width of the rectangle.

Step 1: Distribute the w
8 = 3w^2 - 10w

Step 2: Set the equation equal to zero
3w^2 - 10w - 8 = 0

This is a quadratic equation, so we can either use factoring, completing the square, or the quadratic formula to solve it. Since factoring may not be possible, let's use the quadratic formula:

w = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 3, b = -10, and c = -8.

Step 3: Plug in the values into the quadratic formula
w = (-(-10) ± √((-10)^2 - 4 * 3 * (-8))) / (2 * 3)

Simplifying further:
w = (10 ± √(100 + 96)) / 6
w = (10 ± √196) / 6
w = (10 ± 14) / 6

Step 4: Solve for w
Using the plus-minus symbol, we have two possible solutions:
w = (10 + 14) / 6 = 24 / 6 = 4
w = (10 - 14) / 6 = -4 / 6 = -2/3

Since it is not possible to have a negative width for a rectangle, we can disregard the second answer.

Conclusion:
The width of the rectangle is 4 feet.

To solve this problem, let's start by assigning variables to the dimensions of the rectangle. Let's say the width of the rectangle is 'w' meters.

According to the given information, the length of the rectangle is 10 less than 3 times the width. So we can write the length as (3w - 10) meters.

The area of a rectangle is given by the formula: Area = Length × Width

We are given that the area of the rectangle is 8 square feet. However, you mentioned that you need the answer in meters. Since the measurements are given in feet, we need to convert them to meters.

1 foot is approximately 0.3048 meters. So, the area of the rectangle is 8 square feet × (0.3048 meters/foot)^2 = 8 × (0.3048)^2 square meters.

Now, let's substitute the length, width, and area into the area formula:

(3w - 10) × w = 8 × (0.3048)^2

Simplifying the equation:
3w^2 - 10w = 8 × (0.3048)^2

Rearranging the equation to solve for w:
3w^2 - 10w - 8 × (0.3048)^2 = 0

Now we have a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula to find the solutions for w:

w = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = -8 × (0.3048)^2.

Plugging in the values into the quadratic formula:

w = (-(-10) ± √((-10)^2 - 4 × 3 × (-8 × (0.3048)^2))) / (2 × 3)

Simplifying further:

w = (10 ± √(100 + 4 × 3 × 8 × (0.3048)^2)) / 6

Now, calculate the value inside the square root and simplify:

w = (10 ± √(100 + 0.73728)) / 6
w = (10 ± √100.73728) / 6

Calculate the square root:

w = (10 ± 10.036) / 6

Now, calculate the two possible solutions for w:

w = (10 + 10.036) / 6 ≈ 3.339 meters
or
w = (10 - 10.036) / 6 ≈ -0.006 meters

Since the width cannot be negative, the width of the rectangle is approximately 3.339 meters.

w(3w-10) = 8

4*2 = 8
so, the width is 4 ft and the length is 3*4-10 = 2 (strange that the length is less than the width, but oh well...)
Now, as it is very easy to find, using google,
1 meter is 3.28 feet, so 1 ft is 1/3.28 meter

So, the width is 4/3.28 = 1.22 meters

Not hard, if you break it into small pieces.