Question

You are planning a vegetable garden and you lay out a rectangular design 10 feet wide by 20 feet long. After laying out the design you decide you want a larger garden and decide to increase the length of the garden by a length of 2x feet and increase the width by a length of x feet. You have enough dirt to cover an area of 600 square feet, and you want to make the garden as large as possible. What are the dimensions of the finished garden? Round your answer to the nearest foot.

Answer 1

600=(2x+20)(x+10)
600=2x^2 +40x+200

x^2+20x-500=0

x=(-20+-sqrt(400+2000) )/2

x= -10 +-sqrt(600)
x=sqrt(600) -10

Answer 2

The area ofa rectangular vegetable garden is (2x² + x - 10) square meters how long is the garden if it is (x-2) meters wide