SOLUTION: A square plot of land which has a building 60 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12000

Algebra ->  Surface-area -> SOLUTION: A square plot of land which has a building 60 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12000      Log On


   



Question 1186651: A square plot of land which has a building 60 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12000 ft^2, what are the dimensions of the entire plot of land?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the side length of the whole square plot of land

x%5E2, the area of the whole plot

x%5E2-60%2A40, the area of just the parking lot

x%5E2-2400=12000, parking lot area was given.

highlight%28x=120%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The plot of land is square with side length x; the plot consists of a 60x40 foot building and a parking lot of 12,000 square feet:

x%5E2=%2860%29%2840%29%2B12000=2400%2B12000=14400
x=sqrt%2814400%29=120

ANSWER: the plot of land is 120 feet by 120 feet.