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A square plot of land has a building 50 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 14,900 ft2, what are the dimensions of the entire plot of land?
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Let x = dimension of one side: \[x^2\] would be the dimension of the entire plot of land; u need to find x! You know that one block is (x-50) by 40, and the other block is (x-40) by 50, and that total area is 14900: \[40(x-50)+50(x-40)=14900\] Now, all you have to do is solve for x and you are done.
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