Question

A small business is looking for rectangular warehouses to store extra merchandise. Warehouse A has an area of 6900 ft2. Warehouse B is half as wide and one-third as long. How many square feet is Warehouse B?

Answer 1

The area of the warehouse B is 1150 square feet.

Explanation:

Let
`x`,
`y` are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:

`A_(A) = x\cdot y` (1)

`A_(B) = \left((1)/(2)\cdot x \right)\cdot \left((1)/(3)\cdot y \right)` (2)

Where:

`A_(A)` - Area of the warehouse A, in square inches.

`A_(B)` - Area of the warehouse B, in square inches.

If we know that
`A_(A) = 6900\,ft^(2)`, then by (1) and (2) we have the following equation:

`A_(B) = (1)/(6)\cdot A_(A)`

`A_(B) = 1150\,ft^(2)`

The area of the warehouse B is 1150 square feet.