Area of metal sheet/ area of square
=32×12/4×4
=8×3=24 squares you can cut from this metal sheet

Understanding: Area of Squares and Rectangle
To solve this problem, we need to understand the concept of area and how it relates to squares and rectangles.

Definition of Area:
Area is the measure of the amount of space enclosed by a two-dimensional shape. It is measured in square units, such as square centimeters (cm²) or square meters (m²).

Area of a Square:
The area of a square is found by multiplying the length of one side by itself. If the side length of a square is represented by "s", then the area of the square is given by the formula: Area = s * s = s².

Area of a Rectangle:
The area of a rectangle is found by multiplying the length and width of the rectangle. If the length of the rectangle is represented by "l" and the width is represented by "w", then the area of the rectangle is given by the formula: Area = l * w.

Problem Solving:

Given:
- Metal plate measuring 32 cm by 12 cm
- Small squares of side length 4 cm

Finding the Number of Squares:
To find the number of squares that can be cut from the metal plate, we need to determine how many squares can fit along both the length and width of the plate.

Number of Squares along the Length:
The length of the metal plate is 32 cm, and the side length of each square is 4 cm. Therefore, the number of squares that can fit along the length is given by dividing the length of the plate by the side length of each square: Number of squares along the length = 32 cm / 4 cm = 8 squares.

Number of Squares along the Width:
The width of the metal plate is 12 cm, and the side length of each square is 4 cm. Therefore, the number of squares that can fit along the width is given by dividing the width of the plate by the side length of each square: Number of squares along the width = 12 cm / 4 cm = 3 squares.

Total Number of Squares:
To find the total number of squares, we multiply the number of squares along the length by the number of squares along the width: Total number of squares = Number of squares along the length * Number of squares along the width = 8 squares * 3 squares = 24 squares.

Therefore, 24 squares can be cut from the metal plate measuring 32 cm by 12 cm.