Question

A square acre of land is 5,280 square yards.

Answer 1

By factor decomposition, area of a square and power and root properties, the length of the side is between 72 yards and 76 yards. (Correct choice: B)

What integers are the limits between the length of an equivalent square side of a given area?

The area of a triangle is equal to the square of its side length and the area of land is a composite number, that is, a product of prime numbers. By factor decomposition, the equivalent form of 5,280 square yards is:

5,280 = 2⁵ × 3 × 5 × 11

Then, the equivalent side is equal to the square product of the product:

x = √(2⁵ × 3 × 5 × 11)

x = √(2⁴) × √(2 × 3 × 5 × 11)

x = 2² × √(2 × 3 × 5 × 11)

x = 4√330

As for √330 is between √324 = 18 and √361 = 19, then the length of the side is between 72 yards and 76 yards.

To learn more on factor decomposition: brainly.com/question/13175237

#SPJ1