△abc∼△def , △abc has a height of 20 inches, and △def has a height of 24 inches. what is the ratio of the area of △abc to the area of △def ?

Let
b1> base △ABC
b2> base △DEF
A1> area △ABC
A2> area △DEF

we know that
h1=20 in
h2=24 in
A1=b1*20/2> A1=10b1
A2=b2*24/2 > A2=12 b2

if  △ABC∼△DEF
then 
b1/20=b2/24> b1=b2*[20/24]> b1=b2*[5/6]

What is the ratio of the area of △ABC to the area of △DEF?
A1=10b1
A2=12b2
A1/A2=(10/12)*(b1/b2)> (10/12)*(b2*(5/6)/b2)> (10/12)*(5/6)=50/72

A1/A2=50/72> 25/36

the answer is (25/36)

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