Question

Which pair of rectangles is similar
A) 6,8 and 3,4
B) 6,8 and 2,4
C) 6,15 and 3,8
D) 9,15 and 3,4

Answer 1

If the rectangle a × b and the rectangle c × d are similar, then

a : b = c : d.

Check:

$A)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\qquad\text{CORRECT}\\\\B)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\neq\dfrac{2}{4}\\\\C)\ \dfrac{6}{15}=\dfrac{6:3}{15:3}=\dfrac{2}{5}\neq\dfrac{3}{8}\\\\D)\ \dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\neq\dfrac{3}{4}$

Answer: A) 6, 8 and 3, 4.