Question
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?
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
Using trial and error, if the area is 96 m^2, then the length and width are
If the area of the rectangle is 96 m^2, what is the length and the width?
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
Using trial and error, if the area is 96 m^2, then the length and width are
Answers
Answered by
GPT 3.5
Let's let the width be represented by "w" meters.
According to the given information, the length of the rectangle is four meters less than twice its width. Thus, the length can be represented as 2w - 4.
We can now set up an equation using the formula for the area of a rectangle:
Area = Length * Width
96 = (2w - 4) * w
96 = 2w^2 - 4w (distributing)
2w^2 - 4w - 96 = 0 (subtracting 96 from both sides)
Now, we can solve this quadratic equation to find the value(s) of "w" that satisfy it.
According to the given information, the length of the rectangle is four meters less than twice its width. Thus, the length can be represented as 2w - 4.
We can now set up an equation using the formula for the area of a rectangle:
Area = Length * Width
96 = (2w - 4) * w
96 = 2w^2 - 4w (distributing)
2w^2 - 4w - 96 = 0 (subtracting 96 from both sides)
Now, we can solve this quadratic equation to find the value(s) of "w" that satisfy it.
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