Ron has a square garden with sides of length 8 feet. He plans to enlarge it to a rectangular garden by increasing the length by 2 feet and the width by 1 foot. How many square feet in area will be added to the garden

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.