INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

March 13, 2020

Area of a square | AMC 8- 2015| Problem 25

Try this beautiful problem from AMC-8-2015 (Geometry) based on area of square.

Area of a square - AMC 8, 2015 - Problem 25

One-inch Squares are cut from the corners of this 5 inch square.what is the area in square inches of the largest square that can be fitted into the remaining space?

area of a square- AMC 8
  • 9
  • 15
  • 17

Key Concepts




Check the Answer


AMC-8, 2015 problem 25

Challenges and Thrills of Pre College Mathematics

Try with Hints

Find the Length of HG......

Can you now finish the problem ..........

square that fits into the area

Draw the big square in the remaining space of the big sqare and find it's area .......

can you finish the problem........

square that fits into the area

We want to find the area of the square. The area of the larger square is composed of the smaller square and the four red triangles. The red triangles have base  3 and height 1 .  so the combined area of the four triangles is  $ 4 \times \frac {3}{2} $=6.

The area of the smaller square is  9+6=15.

Subscribe to Cheenta at Youtube

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.