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
An expression for the length of the rectangle in terms of the width would be Response: 2w - 4.
The formula for the area of a rectangle is Response: length * width.
Using trial and error, if the area is 96 m^2, then the length and width are Response: length = 12 m and width = 8 m.
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
The 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
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
Using trial and error, if the area is 96 m^2, we can find possible values for the length and width that satisfy the given conditions.
First, let's express the length in terms of the width:
length = 2w - 4
Now, we can set up a trial and error table to find the values of length and width that give an area of 96 m^2:
Width (w) | Length (2w - 4) | Area (length * width)
----------------------------------------------------
1 | 2(1) - 4 = -2 | -2
2 | 2(2) - 4 = 0 | 0
3 | 2(3) - 4 = 2 | 6
4 | 2(4) - 4 = 4 | 16
5 | 2(5) - 4 = 6 | 30
6 | 2(6) - 4 = 8 | 48
7 | 2(7) - 4 = 10 | 70
8 | 2(8) - 4 = 12 | 96
9 | 2(9) - 4 = 14 | 126
From the table, we can see that when the width is 8 meters, the length is 2(8) - 4 = 12 meters. Additionally, the area of the rectangle is 96 m^2.
Therefore, the length of the rectangle is 12 meters and the width is 8 meters.
3(2i−7)=15
To solve the equation 3(2i - 7) = 15, we can proceed as follows:
First, distribute the 3 to the terms inside the parentheses:
6i - 21 = 15
Next, isolate the variable term by adding 21 to both sides of the equation:
6i = 15 + 21
Simplifying the right side gives:
6i = 36
Finally, divide both sides of the equation by 6 to solve for i:
i = 36/6
Simplifying the right side gives:
i = 6
Therefore, the solution to the equation 3(2i - 7) = 15 is i = 6.