The length of a rectangle is four meters less than twice its width.
If the area of the rectangle is 96 m^2, what is the length and the width?
(3 points)
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An expression for the length of the rectangle in terms of the width would be Response area
The formula for the area of a rectangle is Response area
Using trial and error, if the area is 96 m^2, then the length and width are Response area
wrong
I apologize for the incorrect response. Let's try solving the problem again.
Given:
Length of the rectangle = 2w - 4
Area of the rectangle = 96 m^2
The formula for the area of a rectangle is: Area = Length * Width
Substituting the given values:
96 = (2w - 4) * w
Expanding and rearranging the equation:
96 = 2w^2 - 4w
2w^2 - 4w - 96 = 0
To solve this quadratic equation, we can factor or use the quadratic formula. Factoring gives us:
(2w + 12)(w - 8) = 0
Setting each factor equal to zero:
2w + 12 = 0 or w - 8 = 0
Solving for w:
2w = -12 or w = 8
w = -6 or w = 8
Since the width cannot be negative, the width of the rectangle is 8 m.
Substituting the value of the width back into the expression for the length:
Length = 2w - 4 = 2(8) - 4 = 16 - 4 = 12 m
Therefore, the length of the rectangle is 12 m and the width is 8 m.
An expression for the length of the rectangle in terms of the width would be:
Length = 2w - 4
The formula for the area of a rectangle is:
Area = length * width
Using trial and error, if the area is 96 m^2, then the length and width are:
Length = 12 m, Width = 8 m
An expression for the length of the rectangle in terms of the width would be 2w - 4.
The formula for the area of a rectangle is length * width.
Using trial and error, if the area is 96 m^2, then the length and width are 12 m and 8 m.