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Question

ABCD is a parallelogram, and BC is twice the length of AB. If the perimeter of ABCD is 360 cm, find the length of AD.


A
60 cm
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B
80 cm 
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C
100 cm 
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D
120 cm
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Solution

The correct option is D 120 cm

Given, ABCD is a parallelogram.

Length of AB = x (Assumption)
Then, Length of BC = 2x. 
Perimeter of ABCD = 360 cm (Given)

Perimeter of the parallelogram = AB + BC + CD + DA
360 = x + 2x + x + 2x
360 = 6x
x = 3606 = 60 

Length of AB = 60 cm
Length of BC = 2 ×60 = 120 cm.
Length of BC = Length of AD = 120 cm

Hence, Length of AD = 120 cm. 

Mathematics

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