Question

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

Answer 1

Length of fencing is
`27(1)/(2)` feet

Explanation:

Given

`Length = 9(1)/(4)`

`Width = 4(1)/(2)`

Required

Determine the total length of fencing

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

`Perimeter = 2(Length + Width)`

Substitute values for Length and Width

`Perimeter = 2(9(1)/(4) + 4(1)/(2))`

Convert to improper fractions

`Perimeter = 2((37)/(4) + (9)/(2))`

`Perimeter = 2((37 + 18)/(4))`

`Perimeter = 2((55)/(4))`

Open Bracket

`Perimeter = (55)/(2)`

`Perimeter = 27(1)/(2)`

Hence, the required length of fencing is
`27(1)/(2)` feet