The length of one side of a rectangular garden is 12 feet and and the total of remaining sides of the rectangular is 44 feet.

Therefore, perimeter of rectangle is .

The opposite sides of the rectangle is equal.

Let x and y be the opposite sides of the rectangle and let x = 12 feet. \ \

The formula for the perimeter of the rectangle is .

Substitute the values of in the formula for the perimeter of the rectangle .

Subtract 24 from each side.

.

Divide each side by 32.

Cancel common terms.

.

The length of the longer dimension of the rectangle garden is 16 feet.

The length of the longer dimension of the rectangle garden is 16 feet.