# Units of Conversion

Square (Area) Measure

Review the following table (Webster's New World Dictionary, Second Edition, Simon and Schuster, 1982) of Standard Units of Conversion to see if you can create fractions that have a value of 1. You can click to examples following each table.

Square Measure

 1 square inch 6.452 144 square inches 1 square foot 929.03 square centimeters 9 square feet 1 square yard 0.8361 square meter 30.25 square yards 1 square rod 25.292 square meters 160 square rods 1 acre 0.4047 hectare 1 acre 4,840 square yards 43,560 square feet 640 acres 1 square mile 259 hectares 1 square millimeter 0.00155 square inch 100 square millimeters 1 square centimeter 0.15499 square inch 100 square centimeters 1 square decimeter 15.499 square inches 100 square decimeters 1 square meter 1,549.9 square inches 100 square meters 1 square decameter 119.6 square yards 1 square meters 1 centiare 1.549.9 square inches 100 square decameters 1 square hectometer 2.471 acres 100 centiares 1 are 119.6 square yards 100 ares 1 hectare 2.471 acres 100 hectometers 1 square kilometer 0.386 square mile 100 hectares 0.386 square mile 247.1 acres

Example 1: Convert 180 square inches to square feet.

Solution:

• 180 square inches can be written as 180 x 1 square inch.
• Since 1 square inch can be written as 1 inch x 1 inch,
• 180 square inches can be written 180 x 1 inch x 1 inch.
• Note that 1 inch can be written as 1 inch x 1 and the 1 can be written as a fraction where the numerator and the denominator are equivalent.
• Write 1 inch x 1 as 1 inch x
• This can be further simplified to read
• 180 square inches = 180 x 1 inch x 1 inch = 180 x 1 inch x 1 x 1 inch x 1

=

• Multiply the fractions.

• Rearrange the numerator and rearrange the denominator.

• Rewrite as five fractions where as many fractions as possible have an equivalent value of 1.

1.25 x 1 x 1 x 1 foot x 1 foot

• Note: 1 foot x 1 foot is the same as one foot squared is the same as one square foot.

• The answer is 1.25 square feet.