Question

15. MP Model with Mathematics Tom is drawing rectangles in which the length varies directly with the width. One of his rectangles has a width of 2 centimeters and a length of 3.6 centimeters. Draw and label a rectangle with a width of 3.5 centimeters that could be one of Tom's rectangles. Then find the perimeter, ork. 13.) 14.) 15.)

Answer 1

If the length varies directly with the width, we need to find the constant of proportionality:

w=αl

If

w = 2

l= 3.6

Let's solve for α:

α =2/3.6 = 5/9

Now we know the value of α let's move to the next step:

Using the first equation:

w=αl

If

w = 3.5

Then:

l = 1/α * w

l = 9/5 * 3.5 = 6.3

And the perimeter is:

P = w + w + l + l

So:

P = 3.5 + 3.5 + 6.3 + 6.3 = 19.6cm