Question

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

• A. 120
• B. 140
• C. 160
• D. 180
• E. 200

Answer 1

Answer: (A)

120

Let the width of the rectangular garden be ${}^{\prime }{x}^{\prime }$

So, its length will be ${}^{\prime }2x^{\prime }$

So, its perimeter will be = 2 (L + W) = 2 ($x$ +$2x$) = $6x$

That is given to be equal to 360 yards.

Thus, 6$x$ = 360 $\to$ $x$ = 60 yards.

So, length of the garden will be $2x$ = $120$ yards. (option A)