Greg has a table that is 3.75 meters in length. He wants to make a tablecloth that is 20 centimeters longer on each end than the table. What steps should Greg use to determine the correct number of centimeters to make the tablecloth?

Step-by-step explanation:

3.75M + 20(4)cm

a is the correct

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4