Question

Suppose a rectangle that is 24 INCHES wide by 30 FEET long is cut into squares with side lengths of 3 INCHES. What is the maximum number of squares that could be cut?

80
200
8640
960

Answer 1

960

Explanation:

To find the maximum number of squares that can be cut from the given rectangle, you'll need to calculate the area of the rectangle and then divide it by the area of one square.

First, convert the dimensions to the same units. Since 1 foot is equal to 12 inches, the rectangle is 24 inches wide and 30 feet long, which is equivalent to 24 inches wide and (30 * 12) = 360 inches long.

Now, calculate the area of the rectangle:

Area of rectangle = Length × Width = 360 inches × 24 inches = 8,640 square inches

Next, calculate the area of one square with a side length of 3 inches:

Area of one square = Side length × Side length = 3 inches × 3 inches = 9 square inches

Now, divide the area of the rectangle by the area of one square to find the maximum number of squares that can be cut:

Maximum number of squares = (Area of rectangle) / (Area of one square) = 8,640 square inches / 9 square inches/square = 960 squares

So, the maximum number of squares that could be cut from the given rectangle is 960. Therefore, the correct answer is 960.