Question

Krista has a square garden with an area of 1089 sq ft. She would like to put a fence around perimeter of the garden. Fencing is sold in 8 footmsections. How many sections of fence does she need to purchase?

Answer 1

Krista will need to purchase 17 sections of fencing, as her square garden has a perimeter of 132 ft, and fencing is sold in 8 ft sections.

Step-by-step explanation:

Krista has a square garden with an area of 1089 sq ft and wishes to put a fence around the perimeter of the garden. To find out how many sections of fencing she needs, we first need to find the perimeter of the square garden. The area of a square is calculated by squaring the length of one of its sides, so to find the length of one side, we take the square root of the area:

• Length of one side = √1089 = 33 ft.

Since all sides of a square are equal, we multiply this length by 4 to find the perimeter:

• Perimeter = 4 × 33 ft = 132 ft.

Next, we divide the total length of the perimeter by the length of each fence section to find out how many sections are needed:

• Number of sections = 132 ft / 8 ft per section = 16.5 sections.

Since fencing can only be purchased in whole sections, Krista will need to buy 17 sections to have enough to go around the entire garden.