A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate

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