A rectangle with perimeter 88 m is cut into 5 congruent rectangles as shown in

Question

A rectangle with perimeter 88 m is cut into 5 congruent rectangles as shown in the diagram. The perimeter of each of the congruent rectangle is

Options:

A . 80

B . 40

C . 120

D . none of these

Answer: Option B
:
B

Here AD = BC, 3a = 2b, a=2y, b=3y
The Perimeter of rectangle =4b +5a =4 x 3y + 5 x 2y = 22y; 22y =88; y =4; a =8 and b =12;
The perimeter of each of the congruent rectangle = 2(a+b) =40; Option (b).

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