AMC 8 Geometry Math Olympiad

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

Try this beautiful problem from Geometry based on area of square.. You may use sequential hints to solve the problem

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.

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