Question

PQNM and ZYXW are two rectangular doors used for the main door and a cupboard. Find the ratio of their sides.

• A. $\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=3$
• B. $\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=2$
• C. $\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=4$
• D. $\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=5$

Answer 1

The correct option is A $\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=3$


In the figure:
Here, MN = 1.5 yd, WX = 0.5 yd

$\frac{MN}{WX}=\frac{1.5}{0.5}=3$

Similarly, NO = 6 yd, XY = 2 yd

$\frac{NO}{XY}=\frac{6}{2}=3$

Similarly, OP = 1.5 yd, YZ = 0.5 yd

$\frac{OP}{YZ}=\frac{1.5}{0.5}=3$

And, PM = 6 yd, ZW = 2 yd

$\frac{PM}{ZW}=\frac{6}{2}=3$

So,
$\frac{MN}{WX}=\frac{NO}{XY}=\frac{OP}{YZ}=\frac{PM}{ZW}=3$