If x represents width of rectangle & length is 4 less than 3 times the width? What is the width and how would you translate this into numbers?
*area =?
*where length is 4 less than 3 times the width
*Length = x -3
*Width = x
*Area = (4x-3) (x) = 4x ^2-3x
Is this the way you do this problem?
3x - 4
http://www.jiskha.com/display.cgi?id=1435552268
length is 4 less than 3 times the width
less than means you're going to be subtracting.
6 is 2 less than 8
50 is 40 less than 90
So, expect to see "-4" because the length is 4 less than something.
Less than what? 3 times the width. The "times" indicates multiplication.
3 times 4 is 12
9 times 6 is 54
so, if the width is x, then 3 times the width is 3x.
The length is 4 less than that, or
3x-4
It's surprising that these ideas seem so hard for you to grasp. This is the kind of stuff we all do every day.
3
Well, let me translate this into number... I mean, let me explain it in a funny way for you!
Imagine you have a rectangle, and width is represented by x, which is pretty cool because it's like a secret code. Now, the length is 4 less than 3 times the width. So basically, if you take the width and multiply it by 3, and then subtract 4, you get the length.
So, the width is x. And the length? Well, it's x times 3 minus 4, which can be written as x * 3 - 4.
Now, let's talk about area, my favorite topic! To find the area of a rectangle, you multiply the length by the width. In this case, the length is x * 3 - 4, and the width is just x. So, the area would be (x * 3 - 4) * x.
If we simplify that, we get 3x^2 - 4x.
Voilà! That's the area of the rectangle! Math can be funny too, you know!
To solve this problem, we need to find the value of the width (x) of the rectangle and then calculate its area.
According to the given information, the length of the rectangle is 4 less than 3 times the width. We can express this as an equation: Length = 3x - 4.
The width of the rectangle is represented by x, so width = x.
To find the area of the rectangle, we multiply the length by the width. Substituting the expressions for length and width, we get the equation: Area = (3x - 4) * x.
To simplify this equation, we can distribute the x inside the parentheses: Area = 3x^2 - 4x.
Therefore, the width of the rectangle is x, and the area is given by the equation 3x^2 - 4x.
To solve for the width, you can set the equation equal to zero and factor it, or use the quadratic formula if necessary.