Mark wants to fence for rectangular gardens each with the length of 914 feet in with a 4 1/2 feet what is the total length of fencing Mark needs to surround all four gardens

Respuesta :

Answer:

Length of fencing is [tex]27\frac{1}{2}[/tex] feet

Step-by-step explanation:

Given

[tex]Length = 9\frac{1}{4}[/tex]

[tex]Width = 4\frac{1}{2}[/tex]

Required

Determine the total length of fencing

What this question implies is to calculate the perimeter and it's calculated as follows;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute values for Length and Width

[tex]Perimeter = 2(9\frac{1}{4} + 4\frac{1}{2})[/tex]

Convert to improper fractions

[tex]Perimeter = 2(\frac{37}{4} + \frac{9}{2})[/tex]

[tex]Perimeter = 2(\frac{37 + 18}{4})[/tex]

[tex]Perimeter = 2(\frac{55}{4})[/tex]

Open Bracket

[tex]Perimeter = \frac{55}{2}[/tex]

[tex]Perimeter = 27\frac{1}{2}[/tex]

Hence, the required length of fencing is [tex]27\frac{1}{2}[/tex] feet