question_answer

Vikas's garden is in the form of a parallelogram whose one side is 4.8 cm and other side is \[\text{1}\frac{1}{2}\]times of this side. He wants to fence his garden four times by a wire. Find the length of the wire required.

A)  96 cm

B)  108cm

C)  132cm

D)  84cm

Correct Answer: A

Solution :

Let ABCD be the garden in which\[AB=CD=4.8\text{ }cm.\] \[[\because \]Opposite sides of a parallelogram are equal] Now, \[BC=1\frac{1}{2}\times 4.8cm=\frac{3}{2}\times 4.8cm=7.2cm\] \[\therefore BC=DA=7.2cm\] [Opposite sides of a parallelogram are equal] Now, length of wire required \[=4\times \]perimeter of parallelogram ABCD \[=4\times (4.8+7.2+4.8+7.2)cm=96cm\]