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

Answer :

Step-by-step explanation:

length = 2 × width

the perimeter of a rectangle is

2×length + 2×width

and it is 360 yards in our case

2×length + 2×width = 360

and then we use the first equation (2×width = length) in this second equation :

2×length + length = 360

3×length = 360

length = 360/3 = 120 yards