John and Mary Smith plan to put a wooden fence around their yard in order to keep the mean cats away from their dog Fido. There is a gate that is 3.13 m long which is not included as part of the length of the fence. What total length of fence is required to enclose a rectangular yard whose sides are 14.2 m and 21.6 m in length

68.47 m

Step-by-step explanation:

Data provided:

The shape of the yard as rectangular

Length of the gate = 3.13 m

Sides of the yard = 14.2 m

Length of the yard = 21.6 m

Therefore,

The total length of the fence

= Perimeter of the rectangular yard - Length of the gate

or

= 2 (Side of the yard + Length of the yard) - Length of the gate

= 2 (14.2 + 21.6) - 3.13

= 71.6 - 3.13

or

The total length of the fence = 68.47 m