The length of a rectangle is four meters less than twice its width.
If the area of the rectangle is 96 square meters, 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 96m^2, then the length and width are Response area
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 x width.
Using trial and error, if the area is 96m^2, then the length and width are 12m and 8m respectively.
An expression for the length of the rectangle in terms of the width would be if the width is "w", then the length would be "2w - 4".
The formula for the area of a rectangle is Area = length * width.
Using trial and error, if the area is 96m^2, then the length and width are:
Length = 2w - 4
Width = w
We can substitute the values into the formula for the area:
96 = (2w - 4) * w
Simplifying the equation:
96 = 2w^2 - 4w
Rearranging the equation:
2w^2 - 4w - 96 = 0
Factoring the equation:
(w - 8)(2w + 12) = 0
Solving for "w":
w - 8 = 0 or 2w + 12 = 0
w = 8 or w = -6 (ignore this value since width cannot be negative)
Thus, the width of the rectangle is 8 meters.
Substituting the value of "w" into the expression for the length:
Length = 2w - 4 = 2(8) - 4 = 16 - 4 = 12
Therefore, the length of the rectangle is 12 meters and the width is 8 meters.