Question

kaisha wants to fence off a rectangular field that is 36 ft² in size to grow vegetables. she is considering three fields with widths of 3 ft, 6 ft, and 9 ft.
answer the questions below to find which of these fields would require the least amount of fencing.
(a) fill in the table to find the length and the perimeter for each field.
(b) which of these fields would require the least amount of fencing?
○ field #1
○ field #2
○ field #3

Explanation:

Step1: Calculate length for each field

Use formula for area of rectangle \(A = length\times width\). Given \(A = 36\) square - feet.
For Field #1: \(length=\frac{36}{3}=12\) ft.
For Field #2: \(length=\frac{36}{6}=6\) ft.
For Field #3: \(length=\frac{36}{9}=4\) ft.

Step2: Calculate perimeter for each field

Use formula for perimeter of rectangle \(P = 2\times(length + width)\).
For Field #1: \(P=2\times(12 + 3)=2\times15 = 30\) ft.
For Field #2: \(P=2\times(6 + 6)=2\times12 = 24\) ft.
For Field #3: \(P=2\times(4 + 9)=2\times13 = 26\) ft.

Answer:

(a)

Field #1	Field #2	Field #3
Length: 12 ft	Length: 6 ft	Length: 4 ft
Perimeter: 30 ft	Perimeter: 24 ft	Perimeter: 26 ft

(b) Field #2