question_answer

A rectangle with perimeter 132 m is partitioned into 5 congruent rectangles, as indicated in the diagram. The perimeter of each of the congruent rectangle is,

A)  50 m                           

B)  60 m   

C)  96 m               

D)  66 m

Correct Answer: B

Solution :

(b): 3x = 2y;           Perimeter = 132 m \[\Rightarrow 2\left\{ 3x+(x+y) \right\}=132\Rightarrow 4x+y=66\] \[\Rightarrow 4x+\frac{3x}{2}=66\Rightarrow 11x=132\] \[\Rightarrow x=12\Rightarrow y=18\] Perimeter of one rectangle \[=2(x+y)=2(12+18)=60\]