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

Answer:

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

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

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.

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

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

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

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

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.

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

$\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}$

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

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