Question

a certain town has an area of 4.29 square miles. what is the area, in square yards, of this town ? (1 mile = 1,760 yards)
(a) 410
(b) 7,550
(c) 722,051
(d) 13,288,704

Explanation:

Step1: Recall the conversion for area

To convert square miles to square yards, we first convert miles to yards and then square the conversion factor because it's an area (length squared). The conversion factor for miles to yards is 1 mile = 1760 yards. So, for square miles to square yards, we use \((1760)^2\) square yards per square mile.

Step2: Calculate the conversion factor

First, calculate \(1760^2\).
\(1760\times1760 = 3097600\) square yards per square mile.

Step3: Multiply by the area in square miles

The area of the town is 4.29 square miles. So, we multiply 4.29 by 3097600.
\(4.29\times3097600 = 4.29\times3097600\)
Calculate this product:
\(4\times3097600 = 12390400\)
\(0.29\times3097600 = 0.29\times3097600 = 898304\)
Then add them together: \(12390400 + 898304 = 13288704\)

Answer:

D. 13,288,704