Question

Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y?

• A. 2 : 3
• B. $\sqrt{2}:2$
• C. $2\sqrt{2}:3$
• D. 1 : 1
• E. $\sqrt{2}:1$

Answer 1

The correct option is A 2 : 3

$\frac{P_X}{P_Y}=\frac{4\times x}{2(2x+x)}=\frac{4x}{6x}=\frac{2}{3}\Rightarrow 2:3$