Wheat grass is grown in planters that are 3 1/2 inch by 1 3/4 inch. If there is a 6 x 6 array of these planters with no space between them, what is the area covered by the planters?

the solution is 12x-6y

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

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

step-by-step explanation: