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There are 36 unique quadrilaterals in a 3x3 square grid:
14 squares = 9 (1x1) 4 (2x2) 1 (3x3)
22 rectangles = 6 (1x2) 6 (2x1) 6 (3x3) 2 (2x3) 2 (3x2)
(the total number of quadrilaterals formed by 3 x 3 pin sets will be larger, i.e. 78)
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ProfessorThere are 36 unique quadrilaterals in a 3x3 square grid:
14 squares = 9 (1x1) 4 (2x2) 1 (3x3)
22 rectangles = 6 (1x2) 6 (2x1) 6 (3x3) 2 (2x3) 2 (3x2)
(the total number of quadrilaterals formed by 3 x 3 pin sets will be larger, i.e. 78)
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How many boxes in a 3 x 3 grid?
There are 9 boxes in a 3x3 grid.
How many squares and rectangles are there in a 3 by 3 grid?
14
How many squares in a 3 by 4 grid?
12 squares.
How many sides do 3 dodecagons and 2 quadrilaterals have altogether?
A dodecagon has 12 sides, and a quadrilateral has 4 sides, so 3 dodecagons and 2 quadrilaterals have 3*12 + 2*4 = 36 + 8 = 44 sides altogether.
How many sides do 2 quadrilaterals and 3 pentagons have altogether?
A quadrilateral has four sides and a pentagon has five. So 2 quadrilaterals and 3 pentagons have 2x4 +3x5 sides = 8 + 15 = 23 sides altogether.
