What is the perimeter of rectangle EFGH?

StartRoot 10 EndRoot + StartRoot 29 EndRoot units
2 StartRoot 10 EndRoot + 2 StartRoot 29 EndRoot units
22 units
39 units

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

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