Seth has a garden with dimensions 9 ft long d 8 ft wide. He wants to enlarge the garden to an area of 120 square ft. How much farther will he need to extend the length of the garden to attain his desired area
The current area of Seth's garden is 9 ft * 8 ft = 72 square ft.
To reach his desired area of 120 square ft, he needs to increase the area by 120 square ft - 72 square ft = 48 square ft.
Since the width is already 8 ft, Seth only needs to extend the length of the garden. Let x be the amount he needs to extend the length of the garden. The new area will be (9 ft + x) * 8 ft = 120 square ft.
Expanding the equation gives 72 ft + 8x = 120 square ft.
Subtracting 72 ft from both sides gives 8x = 48 square ft.
Dividing both sides by 8 gives x = 6 ft.
Therefore, Seth needs to extend the length of the garden by 6 ft to reach his desired area of 120 square ft.