Respuesta :
Step-by-step explanation:
Given : 24 square pieces of wood
Taking L.C.M of 24.
[tex]24=2\times 2\times 2\times 3\times 1[/tex]
1) [tex]24=4\times 6[/tex]
By placing 4 square pieces in row and 6 square pieces in column we would be able to make rectangle
2) [tex]24=8\times 3[/tex]
By placing 8 square pieces in row and 3 square pieces in column we would be able to make rectangle
3)[tex]24=12\times 2[/tex]
By placing 12 square pieces in row and 2 square pieces in column we would be able to make rectangle
4)[tex]24=24\times 1[/tex]
By placing 24 square pieces in row and 1 square pieces in column we would be able to make rectangle
5) [tex]24=6\times 4[/tex]
By placing 6 square pieces in row and 4 square pieces in column we would be able to make rectangle
6) [tex]24=3\times 8[/tex]
By placing 3 square pieces in row and 8 square pieces in column we would be able to make rectangle
7)[tex]24=2\times 12[/tex]
By placing 2 square pieces in row and 12 square pieces in column we would be able to make rectangle
8)[tex]24=1\times 24[/tex]
By placing 1 square pieces in row and 24 square pieces in column we would be able to make rectangle
Answer:
The possible dimensions of rectangles are 1×24, 2×12, 3×8, 4×6, 6×4, 8×3, 12×2, 24×1.
Explanation:
Factors: If two or more numbers are multiplied together to get a new number, then those numbers are called factors of that new number.
Factor pairs: If two numbers are multiplied to get a new number, then those numbers are called factor pairs of that new number. For example: Factor pairs of 6 are (1,6) and (2,3).
Further Explanation:
It is given that 24 square pieces of wood.
We need to find all the different ways you could make a rectangle by placing them side-by-side.
Find the factors of 24.
[tex]24=1\times 2\times 2\times 2\times 3[/tex]
Now find factor pairs of 24.
- [tex]24=1\times 24[/tex]
- [tex]24=2\times 12[/tex]
- [tex]24=3\times 8[/tex]
- [tex]24=4\times 6[/tex]
So, the factor pairs of 24 are (1,24), (2,12), (3,8) and (4,6).
Here, (1,24) means 1 square pieces in row and 24 square pieces in column and (24, 1) means 24 square pieces in row and 1 square pieces in column. So, the other possible dimensions are (24,1), (12,2), (8,3) and (6,4).
Factor pair square pieces in row square pieces in column
(1,24) 1 24
(2,12) 2 12
(3,8) 3 8
(4,6) 4 6
(24,1) 24 1
(12,2) 12 2
(8,3) 8 3
(6,4) 6 4
Learn More:
For factor pairs : https://brainly.com/question/696109 (Answered by Calculista)
For factors and factor pairs :https://brainly.com/question/744701 (Answered by DelcieRiveria)
Keywords:
Factors of a number, factor pairs
