Mr. Cook wants to fence his rectangular garden which covers 100 ft squared. The width of the garden is 7 and 1/2 ft. What is the length of the garden? How much fencing will Mr. Cook need?
A = LW
100 = 7.5x
100/7.5 = 13.333
P = 2L + 2W
Take it from there.
To find the length of the garden, you can divide the area of the garden by its width. The area is given as 100 ft², and the width is given as 7 and 1/2 ft.
Step 1: Convert the fractional width to a decimal. 1/2 is equivalent to 0.5.
So, the width is 7.5 ft.
Step 2: Divide the area by the width to find the length.
Length = Area / Width
Length = 100 ft² / 7.5 ft
Length = 13.33 ft (rounded to 2 decimal places)
Therefore, the length of the garden is approximately 13.33 ft.
To calculate the amount of fencing needed, we need to find the perimeter of the garden.
Step 3: Calculate the perimeter of the rectangle.
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (13.33 ft + 7.5 ft)
Perimeter = 2 * 20.83 ft
Perimeter = 41.66 ft (rounded to 2 decimal places)
Therefore, Mr. Cook will need approximately 41.66 ft of fencing.