Two similar 2

Two similar polygons have corresponding sides 15inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second?

Correct answer:

S2 =  432 in2

Step-by-step explanation:

S1=2700 in2 a=15 in b=6 in  r=b:a=6:15=52=0.4=2:5  S1 = K a2 S2 = K b2  S2 = K (r a)2 S2 = K r2 a2 = r2   (K a2) S2 = r2 S1  S2=r2 S1=0.42 2700=432 in2

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