Question

A real estate purveyor purchases a 60,000square foot warehouse and decides to turn it into a storage facility. The warehouse's width is exactly of its length. What is the warehouse's width? Round your answer to the nearest foot.

Answer 1

Answer:200

60,000=2/3l^2

90,000=l^2

Taking the square root of both sides, we have l=+-300 ft. A negative solution for length doesn’t make sense in this contest so we can reject it

Lastly we will remember that the building’s width is two thirds of its length

The building is 200 ft wide

Answer 2

Therefore the width of the warehouse is 245 feet.

Explanation:

Rounding to the nearest foot:

• If the digit of tenths place is between 1-4, then the unit digit remains same.

• If the digit of tenths place is between 5-9, then the unit digit increases by 1.

Given that,

A real estate purchases a 60,000 square foot warehouse.

The width of warehouse is exactly of its length.

Since the unit of 60,000 is square foot. So, it is area of the warehouse.

The area of a rectangular plot is = Length× width.

Since the width of warehouse is exactly of its length.

Then the length of the ware house = the width of the warehouse

∴ Length× width =60,000

⇒width× width =60,000

⇒ width² =60,000

`\Rightarrow width=√(60,000)`

`\Rightarrow width\approx 244.94`

⇒ width =245 feet.( nearest to feet)

Therefore the width of the warehouse is 245 feet.