Here let us find area of square first with side 8 feet.
Area of square = side * side =8*8 =64 feet square................(1)
now the dimension of rectangular garden are:
length = 8+2 =10 feet
width =8+1 =9 feet
Area of rectangle =l *w =10*9 =90 square feet ..............(2)
difference = area of rectangle - area of square
plugging values from (1) and (2)
Difference = 90-64 = 26 square feet
So 26 square feet in area will be added to the garden.
Comparing the areas of the square and of the rectangle, it is found that 26 square feet will be added to the garden.
The area of a square of side length l is given by:
A = l².
The area of a rectangle of length l and width w is given by:
A = lw.
In this problem, initially, the garden is square with side length of 8 feet, hence the area in square feet is of:
As = 8² = 64.
Considering the changes, the rectangle will have l = 10 ft and w = 9 ft, hence, it's area in square feet is of:
Ar = 9 x 10 = 90.
The change is given by:
90 - 64 = 26.
26 square feet will be added to the garden.
More can be learned about the area of a rectangle at https://brainly.com/question/10489198
