0
4 rectangles. (I'm assuming you mean 1414 congruent squares) Suppose we made a rectangle out of 1414 squares. Then its area is 1414x2, if x is the length of a square's side, and all its sides are multiples of x. Say the length and width are ax and bx, then we have two ways of finding the area, which must be equal: ax*bx=1414x2, or ab=1414. Now we just need to find the number of ways to get 1414 as a product of two whole numbers. 1414 factors as 2*7*101 (which are all prime), so there are 4 ways to split it up: 1414 = 1*1414 = 2*707 = 7 * 202 = 14 * 101. Each of these ways gives a different rectangle made up of 1414 squares.
Still curious? Ask our experts.
Chat with our AI personalities
Taiga
Maxine
FranAdd your answer:
Earn +20 pts
How many rectangles can you make from 24 squares?
8
How many rectangles can be drawn with 38 cm as the perimeter?
There would be an infinite number of rectangles possible
How many rectangles are in a 5 by 4 grid?
To calculate the number of rectangles in a 5 by 4 grid, you can use the formula for the number of rectangles in an n by m grid, which is n*(n+1)m(m+1)/4. Plugging in the values for n=5 and m=4, you get 5*(5+1)4(4+1)/4 = 564*5/4 = 600/4 = 150 rectangles. So, there are a total of 150 rectangles in a 5 by 4 grid.
How many rectangles with area of 36 sq cm?
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. So, there are 5 rectangles with an area of 36 cm^2 is 5.
How many 4 number combinations are their using only 1144?
1144 4114 4411 1441 1414 4141 6
