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81
9
None they're all squares.
9 (six rectangles = three squares)
16 1x1 rectangles + 12 2x1 rectangles + 8 3x1 rectangles + 4 4x1 rectangles + 12 1x2 rectangles + 9 2x2 rectangles + 6 3x2 rectangles + 3 4x2 rectangles + 8 1x3 rectangles + 6 2x3 rectangles + 4 3x3 rectangles + 2 4x3 rectangles + 4 1x4 rectangles + 3 2x4 rectangles + 2 3x4 rectangles + 1 4x4 rectangle. A Grand Total of: 100 squares and rectangles. OR: A rectangle is formed by 2 horizontal lines and 2 vertical lines. There are 5 horizontal and 5 vertical lines so the number of rectangles is 5C2 * 5C2 = 10 * 10 = 100
-9
To determine how many rectangles of different sizes can be formed from 36 identical squares, we first need to find the possible dimensions of rectangles that can be created using these squares. The total area of the rectangles must equal 36, which can be expressed as ( length \times width = 36 ). The pairs of factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6), leading to 10 unique rectangles when considering both orientations (length × width and width × length). Thus, a total of 10 different rectangles can be formed.
9 obvious, 3 for each row, 3 for each column, 4 for each rectangle of 4 squares, all of the squares. So 19
There are 81 squares in a 9 by 9 square.
9 x 9 = 81 squares.
81 Squares -- Deo Math Club
First of all, I do not see how you can have 9*10 sq ft squares. If they are squares, then the length and the width must be the same - otherwise they are not squares!Next, the answer depends on the shape of the lot. If the lot is 8 ft * 1000 ft, then not a single 9*10 shapes will fit. Even though the lot is wide enough, it is too narrow.If you allow the squares that are actually rectangles, to be chopped up when necessary, you can fit 8000/(9*10) = 8000/90 = 88.88... of them.