Answer for Day 2 Math Problem

8 square inches 🎯

Solution

The first square has an area of 4 square inches. Another square inside it using the midpoints of the first square as the corners will have its sides as √2/2 of the measure of the sides of the original square, which will then give an area which is (√2/2)² or 1/2 of the area of the original square. The drawing of another square continues indefinitely until the area of the last square theoretically reaches zero. Thus, we have an geometric series with an infinite amount of terms.

Using the formula for the sum of an infinite geometric series which is sum = (first term) * (1 - common ratio) where we have the first term as 4 sq. in. and the common ratio as 1/2, we get the sum of the areas as 8 sq. in.

Winner: Hive account@jfang003 🏅

The prize of 1 HIVE has been sent to Hive account@jfang003's Hive account. 💰

Hive account@ahmadmangazap's answer was wrong, but he realized it just about 3 minutes later! 😆
Hive account@eturnerx-dbuzz's answer was correct, but his answer was 40 minutes late from the first correct answer! 😀
Hive account@anadantra's answer was about 15 hours late from the first answer, and since they didn't include the units, their answer is considered incorrect. 🙁