Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm.
Calculate:
a) the sum of perimeters of all squares
b) the sum of the area of all squares
Calculate:
a) the sum of perimeters of all squares
b) the sum of the area of all squares
Correct answer:
Tips for related online calculators
See also our right triangle calculator.
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See also our trigonometric triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- geometric progression
- infinite geometric series
- arithmetic
- square root
- addition
- planimetrics
- Pythagorean theorem
- right triangle
- area of a shape
- perimeter
- triangle
- square
Units of physical quantities:
Grade of the word problem:
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