A square plot of land has a building 40 ft long and 20 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 9,200 ft2, what are the dimensions of the entire plot of land?

Question

Aden Peck

Mathematics

22 October, 12:43

A square plot of land has a building 40 ft long and 20 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 9,200 ft2, what are the dimensions of the entire plot of land?

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Answers (1)

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Rene Booth · Answer 1

100 ft long and 100 ft wide

Step-by-step explanation:

The building area is (40 ft) (20 ft) = 800 ft², so the area of the entire plot is ...

9200 ft² + 800 ft² = 10000 ft² = (100 ft) ²

The plot is square, so its side length is 100 ft.