rectangle ABCD and DEFG are similar. if AB is 6, DE is 15, DG is 21, what is the length of AD, rounded to the nearest tenth?

Length of AD is 8.4 units.

Step-by-step explanation:

Given that:

There are two similar rectangles ABCD and DEFG.

AB = 6 units

DE = 15 units

DG = 21 units

To find:

AD = ?

Solution:

Please refer to the attached image for having a look at the two given rectangles.

First of all, let us learn about the similar rectangles.

If two rectangles are similar, then the ratio of their corresponding sides are always equal.

i.e.

Putting values of AB, DE and DG to find out AD:

So, value of AD is 8.4 units.

if i put something wrong your not gonna like it so rather not say nothing.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.