Final answer:
To find the new dimensions of the garden, add 1 5/8 feet to both sides. The new dimensions are 15 3/4 feet by 18 feet.
Step-by-step explanation:
To find the new dimensions of the garden, we add 1 5/8 feet to each side. The original dimensions are 12 1/2 feet by 16 3/4 feet.
To add 1 5/8 feet to the length and width, we need to convert the mixed number to an improper fraction.
1 5/8 = (1*8 + 5)/8 = 13/8.
So, we add 13/8 feet to each side.
Adding 13/8 to the width of 12 1/2 feet, we get 12 1/2 + 13/8 = (12*8 + 1)/2 + 13/8
= 113/8 + 13/8
= 126/8 = 15 3/4 feet.
Adding 13/8 to the length of 16 3/4 feet, we get 16 3/4 + 13/8 = (16*8 + 3)/4 + 13/8
= 131/8 + 13/8
= 144/8 = 18 feet.
So, the new dimensions of the garden after adding 1 5/8 feet to all the sides are 15 3/4 feet by 18 feet.