Question

What is the area of the square below?

Answer 1

For the Areas of Regular Polygons Quick Check

Explanation:

1. 45 degrees

2. 67.5 degrees

3. 4.65 m

4. 228 cm^2

5. 150
`√(3)` in^2

100% I promise, have a nice day pumpkin eaters lol

Answer 2

Diagonal of square would have length 24. You can treat diagonal as leg of isosceles triangle.

Recall that 45-45-90 isosceles triangle has side ratio 1:1:√2 and so ratio of triangle sides would be 12√2 : 12√2 : 24 (you just multiple ratio by 12√2)

So then sides would be 12√2

Area would be (12√2)² = 288

So answer is 288 cm²