Atable is 6 feet long and 3 feet wide. you extend the table by inserting two identical table leaves. the longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. make a diagram of the table and leaves. b. write an expression that represents the length of the extendable table. what does x represent

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

answer: 12   they all have at least 28 days

step-by-step explanation: haha