please people i need your help.
*Equal squares as large as possible are drawn on a rectangular board measuring 50 cm by 70 cm. Find the size of the square.
Steve today at 8:18pm
assuming you mean to cover the entire board, then since
GCD(50,70)=10
The largest square which will work has side 10
kelvin today at 8:36pm
And what is the minimum number of squares can be drawn on a rectangular board.
Do you mean 10 cm or there is no unit?
He means 10 cm.
And what is the minimum number of squares can be drawn on a rectangular board?
What is the area of this board?
How many 100 cm squares fit on this board?
Area of the board = 3500 cm square and area of the square which has to be drawn on the board = 100 cm square.
Yes, the board has 3500 square cm.
Why do you keep ignoring my questions?:
I don't understand why you post here when I have to pull teeth to get a simple answer/
To find the size of the square, we need to find the greatest common divisor (GCD) of the dimensions of the rectangle.
In this case, the rectangle measures 50 cm by 70 cm. To find the GCD, we use the Euclidean algorithm:
Step 1: Subtract the smaller number from the larger number.
70 - 50 = 20
Step 2: Repeat step 1 with the new numbers, subtracting the smaller number from the larger number.
50 - 20 = 30
Step 3: Repeat step 1 again.
30 - 20 = 10
Step 4: Repeat step 1 again.
20 - 10 = 10
The GCD of 50 and 70 is 10.
Therefore, the size of the largest square that can be drawn on the rectangular board is 10 cm.
Now, to find the minimum number of squares that can be drawn on the rectangular board, we need to find how many 10 cm squares can fit in both the length and width of the rectangle.
The number of squares that can fit in the length is given by:
Length of the rectangle / Size of the square
Number of squares in length = 70 cm / 10 cm = 7 squares
The number of squares that can fit in the width is given by:
Width of the rectangle / Size of the square
Number of squares in width = 50 cm / 10 cm = 5 squares
To find the minimum number of squares that can be drawn, we multiply the number of squares in the length by the number of squares in the width.
Minimum number of squares = Number of squares in length * Number of squares in width = 7 * 5 = 35 squares.
Therefore, the minimum number of squares that can be drawn on the rectangular board is 35 squares.