Question

715 pointsWhich list shows the rectangles in order by their diagonallengths from shortest to longest?Rectangle T, Rectangle S, Rectangle PRectangle T, Rectangle P, Rectangle SRectangle S, Rectangle T, Rectangle PRectangle S, Rectangle P. Rectangle T20

Answer 1

The idea here is to compare diagonal lengths that are given in different numerical forms. So the best way to compare which one is smaller and which one larger, is to type all of them in decimal form (which is more obvious to our reasoning)

So, since one length is given as 6.7 cm, (we leave it like that (it is in decimal form)

The length given in fraction form: 34/5 we write in decimal form: 6.8 cm

And finally, the one that comes with a square root, we use the calculator to investigate its decimal form:

`√(36.5)=6.0415`

So now we can order them from shortest to largest:

6.0415

6.7

6.8

which means in rectangles:

T

P

S