Question

a rectangular region is removed from another rectangular region to creat
6 ft
8 ft
9 ft
16 ft
□ ft²

Explanation:

Step1: Calculate area of large rectangle

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is length and \( w \) is width. For the large rectangle, \( l = 16\) ft and \( w = 9\) ft. So, \( A_{large}=16\times9 = 144\) square feet.

Step2: Calculate area of small rectangle

For the small rectangle, \( l = 8\) ft and \( w = 6\) ft. Using the area formula, \( A_{small}=8\times6 = 48\) square feet.

Step3: Subtract small area from large area

To find the area of the remaining region, subtract the area of the small rectangle from the large one: \( A = A_{large}-A_{small}=144 - 48 = 96\) square feet.

Answer:

96