What is the perimeter of the rectangle with sides 5#1/3# in and 10#1/6#in?

1 Answer
Apr 28, 2018

31 inches, or 78.54 cm

Explanation:

  1. Convert mixed fractions to improper fractions
    I figured out that if you multiply the coefficient by the denominator, and add the numerator, and slap that result over the original denominator, you'll get an equivalent improper fraction

#5 1/3 => 16/3#

#10 1/6 => 61/6#

  1. Add the two side lengths together (make common denominators first)

#32/6 + 61/6 = 31/2#

  1. Then multiply that by 2 since there's four sides on a rectangle

#31/2 * 2 = 31" inches"#

If you want centimetres, then multiply the inches by #(2.54 " cm" )/ (1" inch")# to get a measurement of #78.74# cm