Question

Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each side of his lot. These side lots are each 200 feet deep and contain 19,000 square feet. What is the total front footage of all three lots?

Answer 1

The graph of the function f(x)=(x+2)(x+6) is shown

The statement the function is negative for all real values of x where x <-2

Answer 2

The total front footage of all three lots is 370 ft

Explanation:

Front footage of first lot = 180 ft

Area of each side lot = 19000 ft²

Depth of each side lot = 200 ft

We have

Area = Depth x Front footage

19000 = 200 x Front footage

Front footage = 95 ft

Total front footage = Front footage of first lot + 2 x Front footage of each side lot

Total front footage = 180 + 2 x 95

Total front footage = 180 + 190

Total front footage = 370 ft

The total front footage of all three lots is 370 ft