10th Class
Mathematics
Pair of Linear Equations in Two Variables
Question Bank
Linear Equation in two Variables
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 \[=2(x+y)=2(12+18)=60\]