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The Taj Mahal

Refer to the illustration below of the Taj Mahal.
Image

1

The platform is about 38 meters wider than the main building. The total area of the platform is about 9025 square meters. Find the dimensions of the base of the building. (Assume each is a square.)

2

Find the dimension of the Platform.

3

The entire complex of the Taj Mahal is about 245 meters longer than it is wide. The area of the entire complex is about 167,750 square meters. What are the dimensions of the entire complex? Explain your steps in finding the solution.