For a given set of rectangles, the length varies inversely with the width. In one of these rectangles, the length is 75 and the width is 2. For this set of rectangles, calculate the width of a rectangle whose length is 5.

Step-by-step explanation:

Let L represent length of rectangle and W represent width of the rectangle.

We have been given that for a given set of rectangles, the length varies inversely with the width.

We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.    

So our required equation would be  .

We are told told that the length is 75 and the width is 2.

Upon substituting these values in our equation, we will get:

Since constant of proportionality is 150, so our equation would be .

To find the width of the rectangle with length of 5, we will substitute in our equation as:

Therefore, the width of the rectangle would be 30.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl