It depends on how spaced apart all the lines are.
7 horizontal lines and 10 vertical lines how many rectangles?
To determine how many different rectangles can be formed, you need to know the number of horizontal and vertical lines available. The formula for calculating the number of rectangles is based on choosing two horizontal lines and two vertical lines from the grid. If there are ( m ) horizontal lines and ( n ) vertical lines, the total number of rectangles is given by the combination formula: ( \binom{m}{2} \times \binom{n}{2} ). This accounts for all possible pairs of lines that can create a rectangle.
In a 3x3 grid, you can form rectangles by choosing two horizontal and two vertical lines. A 3x3 grid has 4 horizontal lines and 4 vertical lines. The number of ways to choose 2 lines from 4 is given by the combination formula ( C(4, 2) ), which equals 6. Therefore, the total number of rectangles is ( 6 \times 6 = 36 ).
To determine how many rectangles can be formed from 36 squares, we can use the formula for counting rectangles in a grid. Each rectangle is defined by choosing two horizontal and two vertical lines. For a 6x6 grid (since 36 squares form a 6x6 arrangement), there are 7 horizontal lines and 7 vertical lines (including the edges). The number of rectangles is given by the combination formula: ( \binom{7}{2} \times \binom{7}{2} = 21 \times 21 = 441 ). Therefore, you can make 441 rectangles from 36 squares.
NONSENSE
there are four two vertical two horizontal
two: horizontal and vertical
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
The number 8 has only 2 lines of symmetry; Vertical and Horizontal.
Two lines of symmetry; one vertical and one horizontal
16 * 28 = 448
The slope of a vertical line is undefined. The slope of a horizontal line is 0. Hope this helps.