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The width of a rectangle is the length -6 units the area of the rectangle is seven square units what is the length in units of the rectangle

User Dodol
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Answer: Let's use algebra to find the length of the rectangle.

Let:

Length of the rectangle = L units

Width of the rectangle = (L - 6) units

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

Given that the area is seven square units, we can write the equation:

Area = L * (L - 6) = 7

Now, let's solve the equation for L:

L^2 - 6L = 7

Move all terms to one side:

L^2 - 6L - 7 = 0

Now, we have a quadratic equation in the form of Ax^2 + Bx + C = 0, where A = 1, B = -6, and C = -7. We can solve this quadratic equation using factoring, completing the square, or the quadratic formula. In this case, we'll use factoring.

Factor the quadratic equation:

(L - 7)(L + 1) = 0

Now, set each factor equal to zero and solve for L:

L - 7 = 0

L = 7

L + 1 = 0

L = -1

Since the length of a rectangle cannot be negative, we discard the negative solution.

So, the length of the rectangle is 7 units.

User Lucas Rodriguez
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