Emma created the poster shown below: What would be the dimensions of the poster at times its current size? (5 points)

Question 1 options:

1)

Length = 32 cm, width = 20 cm

2)

Length = 40 cm, width = 28 cm

3)

Length = 144 cm, width = 96 cm

4)

Length = 9 cm, width = 6 cm

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

could you provide figure.

think the answer would beb