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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


A

80

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B

40

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C

120

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D

none of these

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Solution

The correct option is B

40



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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