SOLUTION: A square plot of land has a building 80 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 8,900 ft2,

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Question 1152108: A square plot of land has a building 80 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 8,900 ft2, what are the dimensions of the entire plot of land?
Found 3 solutions by greenestamps, MathLover1, ikleyn:
Answer by greenestamps(13206)   (Show Source): You can put this solution on YOUR website!


The building area is 80*40 = 3200 square feet; the parking lot is 8900 square feet.

Add the two areas to get the total; then find the dimensions of the plot of land, knowing that it is square.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
A square plot of land has a building long and wide at one corner.
a building is long and =>=>
The rest of the land outside the building forms a parking lot.
If the parking lot has area , what are the dimensions of the entire plot of land?
given that plot is square, the length and width are same:
total area of a square plot is : and it is = area of a building + area of a parking lot






then parking lot have dimensions:

and






Answer by ikleyn(52866)   (Show Source): You can put this solution on YOUR website!
.

Let the side length of the square plot of land be s feet.


Then its area is s^2 square feet.


The area of the house is 80*40 = 3200 square feet.


You are given  


    s^2 = 80*40 + 8900 = 12100  square feet


Hence,  s =  = 110 feet.    ANSWER

Solved.


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