Right Angle Cutting

Geometry Level 1

I have a square with side length 10.
I cut out 4 rectangles from each of its corners as shown above.
What is the perimeter of this new figure?


The answer is 40.

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Pi Han Goh by Pi Han Goh , 30, Malaysia

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3 solutions

Jus Jaisinghani
Jul 17, 2016

As we can see in the figure the perimeter of square is nothing else but perimeter of the given shape .hence the answer is 40 \boxed{40}

6 Helpful 0 Interesting 0 Brilliant 0 Confused

Relevant wiki: Length and Area - Composite Figures

Perimeter of the square is 4 × 10 = 40 4\times10=40 . Now in the given figure, we can use its sides to form the original square itself so the perimeter of the figure will also be 40 40 .

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you explain a bit more?

Viki Zeta - 4 years, 11 months ago

the perimeter of the new figure is equal to the perimeter of the square.

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