A rectangular garden is 25 feet long by 10 feet wide. You have enough mulch to cover 1000 square feet. You would like to extend both the length and the width of the garden by x feet to use up all of the mulch. Write an equation to represent the area of the new garden.

Question

A rectangular garden is 25 feet long by 10 feet wide.  You have enough mulch to cover 1000 square feet.  You would like to extend both the length and the width of the garden by x feet to use up all of the mulch.  Write an equation to represent the area of the new garden.

Joe · Accepted Answer

1,000 = (25 + x)(10 + x)

Steve · Answer

(25+x)(10+x) = 1000 Or, you could just double the dimensions. Then the area grows by a factor of 4, to 1000 ft^2.