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Original Question
How many squares with a perimeter of 26 cm each will fit in a rectangle?Asked by Hadassah
How many squares with a perimeter of 26 cm each will fit a rectangle?
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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).
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).
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