Question

shade in a rectangle with an area of 49 square units.

Explanation:

Step1: Recall the area formula for a rectangle

The area of a rectangle is given by \( A = l \times w \), where \( l \) is the length and \( w \) is the width. We need \( l \times w = 49 \).

Step2: Find possible integer dimensions

The factors of 49 are 1 and 49, or 7 and 7 (since \( 7\times7 = 49 \), and a square is a special case of a rectangle).

Step3: Determine the grid dimensions

Looking at the grid, each small square is 1 unit. To form a rectangle (or square) with area 49, we can use a square with side length 7 (since \( 7\times7 = 49 \)). So we shade a 7 - unit by 7 - unit square (which is a rectangle) on the grid. For example, starting from the top - left corner, shade 7 squares horizontally and 7 squares vertically.

Answer:

Shade a 7 - unit by 7 - unit square (or rectangle with length 7 and width 7) on the grid. (The actual shading would involve selecting a 7×7 block of the small squares in the grid.)