Respuesta :
Answer:
[tex]\text{The length of new room}=16.64\text{ feet}[/tex]
[tex]\text{Area of the new room}=266.24\text{ feet}^2[/tex]
Step-by-step 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.
[tex]\text{The length of new room}=16+(\frac{4}{100}*16)[/tex]
[tex]\text{The length of new room}=16+(0.04*16)[/tex]
[tex]\text{The length of new room}=16+0.64[/tex]
[tex]\text{The length of new room}=16.64[/tex]
Therefore, the expression [tex]16+(0.04*16)[/tex] 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.
[tex]\text{Area of rectangle}=\text{Length*Width}[/tex]
[tex]\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}[/tex]
[tex]\text{Area of the new room}=266.24\text{ feet}^2[/tex]
Therefore, the area of the new room will be 266.24 square feet.
