Nice Geometry Problem | Find The Area Of The Shaded Region

Welcome to our latest math problem-solving video! 📐 In this video, we tackle a fascinating geometry problem that will put your skills to the test. Join us as we dive into finding the area of the shaded region step by step.

Embark on a journey through geometry with us! We present a stimulating problem: determining the area of the shaded region within a complex geometric figure. Sharpen your mathematical skills and embrace the challenge!

By following our systematic solution process, we unravel the mystery of the shaded region's area. Whether you're a math enthusiast, student, or educator, this video offers valuable insights into geometry problem-solving strategies.

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[quigonkenny]

Full area: 16 cm² (4×4)

Blank area upper left: half of 8 (4×2) = 4 cm²

Blank area lower right: half of 8 (2×4) = 4 cm²

Blank area lower left: half of 4 (2×2) = 2 cm²

Total shaded area: 16 - (4 + 4 + 2) = 16 - 10 = 6 cm²

[danielsac]

Yeah, I don't know why did I choose a harder way.

I realised that the side of the original triangle above the green area has a length of 2√2 cm. Measured from there, the triangle's height is 3√2 cm, up to the upper right corner. Multiply those two values and divide them by 2 (as is the formula for the area of a triangle), and you get the answer: 6 cm².