Question

Which expression can be used to convert 54 square inches into square feet?

Answer 1

Answer: Choice C. The third one from the top

= 54 sq. in. * ( 1 sq. ft/ 144 sq. in.)

Explanation:

to convert from square inches to square feet

54 sq. in. * ( 1 sq. ft/ (12 * 12 sq. inches))

= 54 sq. in. * ( 1 sq. ft/ 144 sq. in.)

= 0.375 sq. feet

from MysticAlanCheng

Answer 2

E (see attached)

Explanation:

You want to know which expression converts 54 square inches to square feet.

Conversion

You can identify the correct conversion factor using two criteria:

1. the units must give you the units you want
2. the value of the conversion factor must be 1 (numerator equal to denominator).

Application

Considering we have square inches and want square feet, we need a conversion factor with square feet in the numerator and square inches in the denominator. (Eliminates choices D and F.)

We know that 12 inches is 1 ft, so the conversion factor can be ...

`\left(\frac{1\text{ ft}}{12\text{ in}}\right)^2=\frac{1^2\text{ ft}^2}{(12)^2\text{ in}^2}\qquad\text{matches choice E}`

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Additional comment

The converted value is 54/144 = 3/8 = 0.375 square feet.

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