Answer: width, 4 ft; length, 6 ft (4 + 2) are the garden's dimensions.
Pathway width (x):
(x + 4)(x + 6) - (4 * 6) = 224
x² + 6x + 4x + 24 - 24 = 224
x² + 10x = 224
x² + 5x = 224 + 5²
x² + 5x = 224 + 25
(x + 5)² = 249
x + 5 = 15.779734
x = 10.779737
Answer: 10.779737 feet are the width of the pathways.
Area of pathways (224 square feet):
= (4 + 10.779737)(6 + 10.779737) - (4 * 6)
= (14.779737)(16.779737) - 24
= 248 - 24
= 224
