Avegetable garden is in the shape of a parallelogram with
the dimensions shown.
how many feet of fencing are needed to enclose the
garden?
a
(4r-2) ft
b
(3r + 8) a
o 54 feet
68 feet
o 108 feet
140 feet
(2r + 12 a

its B-64

Step-by-step explanation:

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