Perimeter Of Cross - Extrapolating

Geometry Level 1

As we go from one figure to the next, how much does the perimeter increase by?

8 16 4 12

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Arron Kau by Arron Kau

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6 solutions

Jiri R.
Apr 17, 2014

After adding one square - one unit of the perimeter is lost and three units are added . In another words, for 1 square added we get ( − 1 + 3 ) = 2 (-1 + 3) = 2 increase in perimeter. Each time we add 4 squares therefore we get ( − 1 + 3 ) × 4 = 8 (-1 + 3) \times 4 = 8 increase in perimeter.

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This is not type right solution it is 12. Since each square will add three sides with four squares it is 12.

Samir Shaheen - 7 years, 1 month ago

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Each square will add three squares, but it also removes one side of the square it's attached with. Look at the top leg; the square above gets three sides but the square just below that loses the top side.

Ivan Koswara - 7 years, 1 month ago

Can you explain to me what the solution is and how you get it???? I'm seeing 12 and 8, but I'm not understanding what is right.

Celeste Drake - 7 years, 1 month ago

3*4=12

Boya Prathap - 7 years, 1 month ago

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it is 8

Hemant Saraswat - 7 years, 1 month ago

GOOD QUESTION

Rohit Singh - 7 years, 1 month ago

Why it is 3-1 And not 4-1

Shuvam Nayak - 7 years, 1 month ago

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Because the added square already has one side missing. Look at the top leg; the new square's bottom side is not counted.

Ivan Koswara - 7 years, 1 month ago

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thnxx

Shuvam Nayak - 7 years, 1 month ago
Bilal Ahmad
Apr 17, 2014

Its quite simple 4,12,20,28,36 .... simple addition of 8 in every solution

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Can't understand explain in detail. According to me it's 12

Dixit Dutta - 7 years, 1 month ago

It is 12 3 x 4 squares. Is 12

Samir Shaheen - 7 years, 1 month ago
Uahbid Dey
Apr 22, 2014

(3-1) x 4 direction = 8

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Ramji Varadarajan
Apr 19, 2014

As we move from one fig to another, we can find that they follow a sequence of odd multiples of 4 respectively.

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simply add 8 with previous one thats it

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Aashish Patel
Apr 17, 2014

It is simple.One side of each square is equal to 1 unit.In the last figure one square is added to each side .So the increase in perimeter =2*4=8.

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8,as 2*4

Somesh Kumar - 7 years, 1 month ago

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