Bailey wants to build a fence around her backyard. the professional survey recorded at emory city hall shows her backyard to have a perimeter of 488 feet. bailey measures her yard four times. which measurement is the most accurate of the four recorded? a)486 feet and 6 inches  b)486.5 feet  c)486.55 feet  d)487 feet

D) 487 is the most accurate of the four recorded because it is the nearest number to the perimeter of the whole backyard i.e.488 feet.

All of the options can be written as

A)486 feet and 6 inches=486 feet and 0.5 feet=486.5 feet [1 feet=12 inches ∴ 6 inches=0.5 feet]

B)486.5 feet C)486.55 feet D)487 feet

Arrange them into increasing order we get

A)=B)=486.5 feet <C)486.55 feet<D)487 feet<488 feet←perimeter of backyard.

here D) 487 is the nearest value to the the perimeter of backyard. Therefore 487 is the most accurate of the four recorded.