How many squares of side 5 inches can be cut from a piece of cartolina 48 inches long and 36 inches wide. What area of the paper will be wasted?
48/5 = ?
36/5 = ?
Now subtract the product of those two numbers from 48*46
2145
To answer this question, we need to first determine how many squares of side 5 inches can fit into the given piece of cartolina and then calculate the wasted area.
To find the number of squares that can be cut, we need to divide the length and width of the cartolina by the side length of the square. In this case, the side length is 5 inches.
Length of the cartolina: 48 inches
Width of the cartolina: 36 inches
Number of squares that can fit in the length = Length of the cartolina / Side length
Number of squares that can fit in the length = 48 inches / 5 inches = 9.6 squares
Since we can't have a fraction of a square, we round down to the nearest whole number. Therefore, we can cut 9 squares along the length.
Number of squares that can fit in the width = Width of the cartolina / Side length
Number of squares that can fit in the width = 36 inches / 5 inches = 7.2 squares
Again, rounding down, we can cut 7 squares along the width.
Now, we can determine the total number of squares by multiplying the number of squares cut along the length and width:
Total number of squares = Number of squares along the length × Number of squares along the width
Total number of squares = 9 squares × 7 squares = 63 squares
The area of each square is (side length)^2 = 5 inches × 5 inches = 25 square inches.
Therefore, the total wasted area is given by:
Wasted area = Total area of the cartolina − (Total number of squares × Area of each square)
Total area of the cartolina = Length of the cartolina × Width of the cartolina
Total area of the cartolina = 48 inches × 36 inches = 1728 square inches
Wasted area = 1728 square inches − (63 squares × 25 square inches)
Wasted area = 1728 square inches − 1575 square inches
Wasted area = 153 square inches
So, the area of the paper that will be wasted is 153 square inches.