Question

The Rumpart family is building a new room onto their house. The width of the new room will be 16 feet. The length of the room will be 4% greater than the width. Write an expression to find the length of the new room. What will be the area of this new room?

Answer 1

`\text{The length of new room}=16.64\text{ feet}`

`\text{Area of the new room}=266.24\text{ feet}^2`

Explanation:

We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.

The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.

`\text{The length of new room}=16+((4)/(100)*16)`

`\text{The length of new room}=16+(0.04*16)`

`\text{The length of new room}=16+0.64`

`\text{The length of new room}=16.64`

Therefore, the expression
`16+(0.04*16)` represents the length of new room and the length of new room is 16.64 feet.

Since we know that area of a rectangular shape is width times length.

`\text{Area of rectangle}=\text{Length*Width}`

`\text{Area of the new room}=16\text{ feet}* 16.64\text{ feet}`

`\text{Area of the new room}=266.24\text{ feet}^2`

Therefore, the area of the new room will be 266.24 square feet.