Area of a certain rectangle is 24. Complete the table showing possible lengths and widths of this rectangle.
L 1 2 3 4 6 8 12 24
________________________
W _ _ _ _ _ _ _ _
Then describe the graph of l w = 24 will the graph ever touch the l- axis will it ever touch the w- axis
If the length is 1, then the width is 24 (as area is LxW)
If L=2 then width = 12 as A=LxW
and continue in this manner.
Then graph it : )
So the answer for the 2nd part w
Will the graph ever touch the l-axis or w- axis
The answer is NO for both????
To find the possible lengths and widths of the rectangle given that its area is 24, we need to consider pairs of factors of 24. The factors of 24 are:
1, 2, 3, 4, 6, 8, 12, and 24
We can now fill in the table:
L 1 2 3 4 6 8 12 24
________________________
W 24 12 8 6 4 3 2 1
Now let's analyze the graph of lw = 24. We can represent this equation as w = 24/l, which means that the width is equal to 24 divided by the length.
There are no restrictions on the values of length or width, so we can choose any real number for length (except 0, as division by 0 is undefined).
For the length-axis (l-axis), if we plug in l = 0 into the equation, we get w = 24/0, which is undefined. Therefore, the graph will never touch the l-axis.
For the width-axis (w-axis), if we plug in w = 0 into the equation, we get 0 = 24/l, which has no real solutions for l. So the graph will never touch the w-axis either.
In summary, the graph of lw = 24 will never touch the l-axis or the w-axis.