    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.  Suggest Corrections  0      Similar questions
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