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
The 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 possible combinations for the length and width could be:
Length = 12m, Width = 8m
Length = 16m, Width = 6m
Length = 24m, Width = 4m
So the length and width of the rectangle could be: Length = 12m, Width = 8m or Length = 16m, Width = 6m or Length = 24m, Width = 4m.
To find the length and width of the rectangle, let's first set up equations based on the given information.
Let the width of the rectangle be represented by 'w'.
The length of the rectangle is four meters less than twice its width, which can be expressed as 2w - 4.
The formula for the area of a rectangle is length multiplied by width:
Area = length * width
Substituting the expressions for length and width, we get:
Area = (2w - 4) * w
Now, we know that the area of the rectangle is given as 96 square meters.
So, we can set up the equation:
96 = (2w - 4) * w
To find the values of 'w' and '2w - 4', we can solve this equation.
Let's simplify and solve for 'w'.