Samantha used four balls of yarn to knit a doll blanket. Now she wants to knit a similar blanket that is three times as long and three times as wide. How many balls of yarn will she need to complete the larger blanket?

36

Step-by-step explanation:

She kniited a blanket with a certain area with 4 balls.

The new blanket will 3x3 =9 times as much area, so 9 x4 = 36 balls of yarn

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

step-by-step explanation: