Ghazali has 7 stacks of chairs with 20 chairs in each stack. He places each chair equally spaced apart to form the perimeter of a rectangle. The number of chairs along its length is twice the number of chairs along its breadth. How many chairs are there on each side of the rectangle?
Now side is x and the other is 2x.
2x + 2(2x) = 7(20)
Solve for x, then 2x.
If the breadth has x chairs, then 2(x-1 + 2x-1) = 7*20
To find the number of chairs on each side of the rectangle, we can start by determining the total number of chairs.
Since there are 7 stacks of chairs with 20 chairs in each stack, the total number of chairs is 7 stacks * 20 chairs/stack = 140 chairs.
Let's assume that the number of chairs along the length of the rectangle is L and the number of chairs along the breadth is B.
According to the problem, the number of chairs along the length is twice the number of chairs along the breadth. So, we can write the equation:
L = 2B
To form a rectangle, the number of chairs we have should be divisible by 4 since all sides need to have an equal number of chairs. In this case, the total number of chairs (140) is divisible by 4.
Let's start by finding values of B and L that satisfy the conditions. We can try different values of B and see if it satisfies the equation L = 2B and if the product of B and L is equal to 140.
Let's say B = 10 chairs. According to our equation, L would be 2B = 2 * 10 = 20 chairs.
The product of B and L is 10 * 20 = 200, which is not equal to 140.
Let's try another value of B. Suppose B = 14 chairs. According to the equation, L = 2B = 2 * 14 = 28 chairs.
The product of B and L is 14 * 28 = 392, which is not equal to 140.
Let's try another value of B. Suppose B = 20 chairs. According to the equation, L = 2B = 2 * 20 = 40 chairs.
The product of B and L is 20 * 40 = 800, which is not equal to 140.
As we can see, none of the values of B we tried satisfied the conditions. Therefore, it seems that there is no possible solution that fits the given information.
Thus, we can conclude that there is no specific answer to the question "How many chairs are there on each side of the rectangle?" given the information provided.