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consider two congruent triangular prisms. each rectangular face of prism a has a width of x+2 and each rectangular face of
prism b has a length of 2x + 3. if each rectangular face of prism a has an area of 101 - 2x, what is the area of one of the triangular
bases of prism b? (round to nearest whole number in cm)
19 cm?
b)
21 cm?
23.com
d)
25.com
submit

details

step-by-step explanation:

x=6 and x=3

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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