How many squares with a perimeter of 26 cm each will fit a rectangle?
To find out how many squares with a perimeter of 26 cm each will fit inside a rectangle, we need to know the dimensions of the rectangle.
Let's assume the length of the rectangle is l cm and the width is w cm.
Now, the perimeter of the rectangle is given by the formula: P = 2(l + w)
Given that the perimeter of each square is 26 cm, we can set up an equation:
2(l + w) = 26
Simplifying the equation further:
l + w = 13
We need to find whole number solutions for l and w that satisfy the equation. We can use trial and error to find the dimensions of the rectangle:
If l = 10 and w = 3, the perimeter would be 10 + 3 = 13, which matches the requirement.
Therefore, the rectangle can be divided into 10 squares (with each side measuring 3 cm) and 3 squares (with each side measuring 10 cm).
To find out how many squares with a perimeter of 26 cm each will fit a rectangle, we first need to determine the dimensions of the rectangle.
Let's assume the length of the rectangle is L cm and the width of the rectangle is W cm.
The perimeter of a rectangle is given by P = 2L + 2W.
In this case, the perimeter of the rectangle is 26 cm.
So, we have the equation: 2L + 2W = 26.
To find the number of squares that can fit within the rectangle, we need to make the lengths and widths of the squares equal to each other and equal to the shorter side of the rectangle.
So, we can set L = W.
Substituting L = W into the equation 2L + 2W = 26, we get: 4L = 26.
Solving for L, we find L = 6.5 cm.
Since L = W, the width of the rectangle is also 6.5 cm.
So, each side of the square will have a length of 6.5 cm.
To find the number of squares that can fit within the rectangle, we divide the length of the rectangle (6.5 cm) by the length of each side of the square (6.5 cm).
Therefore, only 1 square with a perimeter of 26 cm each will fit inside the rectangle.