: Mark wants to fence 4 rectangular gardens, each with a length of feet 9/1/4 and a width of feet 4/1/2 . What is the total length of fencing Mark needs to surround all 4 gardens

Respuesta :

41 and 5/8ths feet is for one rectangular garden, and 166 and 1/2 feet is for all four gardens combined

Answer:

Mark needs 110 ft. fencing to surround all 4 gardens.

Step-by-step explanation:

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden = [tex]9\frac{1}{4} + 9\frac{1}{4}[/tex]

= [tex]\frac{37}{4}+ \frac{37}{4}[/tex]

Length = 18.5 feet

Total width of the garden = [tex]4\frac{1}{2} + 4\frac{1}{2}[/tex]

= [tex]\frac{9}{2}+ \frac{9}{2}[/tex]

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.