+38 how many rectangles can be formed by a 10x10 square and a 7x8 rectangle? Squares are classified as rectangles
+38 nevermind i got the answer of 3025 and 1008 confirm if possible
To count the number of rectangles that can be formed by a 10x10 square and a 7x8 rectangle, we can use the formula:
Number of rectangles = (number of horizontal lines choose 2) x (number of vertical lines choose 2)
For the 10x10 square, there are 11 horizontal lines and 11 vertical lines, so we get:
Number of rectangles in the 10x10 square = (11 choose 2) x (11 choose 2) = 55 x 55 = 3,025
For the 7x8 rectangle, there are 8 horizontal lines and 9 vertical lines, so we get:
Number of rectangles in the 7x8 rectangle = (8 choose 2) x (9 choose 2) = 28 x 36 = 1,008
Now, we can add the number of rectangles in the 10x10 square and the 7x8 rectangle to get the total number of rectangles:
Total number of rectangles = 3,025 + 1,008 = 4,033
Therefore, there are 4,033 rectangles that can be formed by a 10x10 square and a 7x8 rectangle.
