Conversion ft squared to yd squared

Question

To convert from ft2 to yd2, you should

(a) multiply by 3.

(b) multiply by 1/3.

(c) multiply by 9.

(d) multiply by 1/9.

(e) multiply by 6.

(f) multiply by 1/6.

Answer 1

You know that there are 3 feet in in 1 yard. To go from square feet to square yards, multiply the number of square feet by the conversion factor of (1 yd/3 ft), keeping in mind that the conversion factor is squared.

So write, (ft²) (1 yd/3 ft)². The units of ft² in the numerator and denominator cancel out, leaving units of yd².

Looking at just the numbers in the conversion factor, you multiplied ft² by (1/3)².

Answer 2

Large to small, multiply it all. Small to large, division is in charge.

1 yd = 3 ft

1 yd^2 = 9 ft^2

If we have 1 ft^2 and we want yd^2, we need to rearrange our conversion factor. We can always multiply and divide by 1 without changing the equation so first, I'm going to write our conversion factor as 1 yd^2/9 ft^2 = 1. Now we can multiply 1 ft^2 * (1 yd^2/9 ft^2). The units of ft^2 will cancel and you'll be left with (1/9)yd^2=1 ft^2 so your answer is D