Question

shade in a rectangle with an area of 42 square units.

Explanation:

Answer:

To shade a rectangle with an area of 42 square units, we can use the formula for the area of a rectangle, \( A = l \times w \) (where \( l \) is length and \( w \) is width). We need to find two positive integers whose product is 42. Some factor pairs of 42 are:

• \( 6 \times 7 = 42 \)
• \( 3 \times 14 = 42 \)
• \( 2 \times 21 = 42 \)
• \( 1 \times 42 = 42 \)

For example, if we choose a length of 6 units and a width of 7 units:

1. Locate a starting square on the grid.
2. Shade 6 squares horizontally (length) and 7 squares vertically (width), forming a rectangle. The total number of shaded squares (area) will be \( 6 \times 7 = 42 \).

(Note: The actual shading depends on the grid’s layout, but the key is to use a factor pair of 42 for length and width.)