Math / Numbers & Operations

QuestionMatnXL for School: Additional Practice (LMS graded)
Rose's apartment has $1,530 \mathrm{ft}^{2}$ of walls. She hired a contractor to paint $1,071 \mathrm{ft}^{2}$ of the walls. How much of Rose's apartment did NOT get painted?
Choose the correct answer below. A. $65 \%$ B. $70 \%$ C. $40 \%$ D. $30 \%$

Studdy Solution

STEP 1

1. The total wall area of Rose's apartment is $1,530 \, \mathrm{ft}^2$ .
2. The contractor painted $1,071 \, \mathrm{ft}^2$ of the walls.
3. We need to find the percentage of the apartment walls that did not get painted.

STEP 2

1. Calculate the unpainted area.
2. Calculate the percentage of unpainted area.
3. Choose the correct answer from the options given.

STEP 3

Calculate the unpainted area by subtracting the painted area from the total area.
$\text{Unpainted Area} = 1,530 \, \mathrm{ft}^2 - 1,071 \, \mathrm{ft}^2$

STEP 4

Perform the subtraction to find the unpainted area.
$\text{Unpainted Area} = 459 \, \mathrm{ft}^2$

STEP 5

Calculate the percentage of the apartment that did not get painted using the formula:
$\text{Percentage Unpainted} = \left( \frac{\text{Unpainted Area}}{\text{Total Area}} \right) \times 100$

STEP 6

Substitute the known values into the formula and calculate the percentage.
$\text{Percentage Unpainted} = \left( \frac{459}{1,530} \right) \times 100$

STEP 7

Perform the division and multiplication to find the percentage.
$\text{Percentage Unpainted} = 0.3 \times 100 = 30\%$

STEP 8

Choose the correct answer from the options given.
The correct answer is: D. $30\%$

Was this helpful?

Studdy Solution

STEP 1

1. The total wall area of Rose's apartment is $1,530 \, \mathrm{ft}^2$ .
2. The contractor painted $1,071 \, \mathrm{ft}^2$ of the walls.
3. We need to find the percentage of the apartment walls that did not get painted.

STEP 2

1. Calculate the unpainted area.
2. Calculate the percentage of unpainted area.
3. Choose the correct answer from the options given.

STEP 3

Calculate the unpainted area by subtracting the painted area from the total area.
$\text{Unpainted Area} = 1,530 \, \mathrm{ft}^2 - 1,071 \, \mathrm{ft}^2$

STEP 4

Perform the subtraction to find the unpainted area.
$\text{Unpainted Area} = 459 \, \mathrm{ft}^2$

STEP 5

Calculate the percentage of the apartment that did not get painted using the formula:
$\text{Percentage Unpainted} = \left( \frac{\text{Unpainted Area}}{\text{Total Area}} \right) \times 100$

STEP 6

Substitute the known values into the formula and calculate the percentage.
$\text{Percentage Unpainted} = \left( \frac{459}{1,530} \right) \times 100$

STEP 7

Perform the division and multiplication to find the percentage.
$\text{Percentage Unpainted} = 0.3 \times 100 = 30\%$

STEP 8

Choose the correct answer from the options given.
The correct answer is: D. $30\%$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

1. The total wall area of Rose's apartment is 1,530 ft2 1,530 \, \mathrm{ft}^2 1,530ft2.2. The contractor painted 1,071 ft2 1,071 \, \mathrm{ft}^2 1,071ft2 of the walls.3. We need to find the percentage of the apartment walls that did not get painted.

STEP 2

1. Calculate the unpainted area.2. Calculate the percentage of unpainted area.3. Choose the correct answer from the options given.

STEP 3

Calculate the unpainted area by subtracting the painted area from the total area.Unpainted Area=1,530 ft2−1,071 ft2\text{Unpainted Area} = 1,530 \, \mathrm{ft}^2 - 1,071 \, \mathrm{ft}^2Unpainted Area=1,530ft2−1,071ft2

STEP 4

Perform the subtraction to find the unpainted area.Unpainted Area=459 ft2\text{Unpainted Area} = 459 \, \mathrm{ft}^2Unpainted Area=459ft2

STEP 5

Calculate the percentage of the apartment that did not get painted using the formula:Percentage Unpainted=(Unpainted AreaTotal Area)×100\text{Percentage Unpainted} = \left( \frac{\text{Unpainted Area}}{\text{Total Area}} \right) \times 100Percentage Unpainted=(Total AreaUnpainted Area​)×100

STEP 6

Substitute the known values into the formula and calculate the percentage.Percentage Unpainted=(4591,530)×100\text{Percentage Unpainted} = \left( \frac{459}{1,530} \right) \times 100Percentage Unpainted=(1,530459​)×100

STEP 7

Perform the division and multiplication to find the percentage.Percentage Unpainted=0.3×100=30%\text{Percentage Unpainted} = 0.3 \times 100 = 30\%Percentage Unpainted=0.3×100=30%

STEP 8

Choose the correct answer from the options given.The correct answer is: D. 30% 30\% 30%

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The total wall area of Rose's apartment is $1,530 \, \mathrm{ft}^2$ .
2. The contractor painted $1,071 \, \mathrm{ft}^2$ of the walls.
3. We need to find the percentage of the apartment walls that did not get painted.

1. Calculate the unpainted area.
2. Calculate the percentage of unpainted area.
3. Choose the correct answer from the options given.

Calculate the unpainted area by subtracting the painted area from the total area.
$\text{Unpainted Area} = 1,530 \, \mathrm{ft}^2 - 1,071 \, \mathrm{ft}^2$

Perform the subtraction to find the unpainted area.
$\text{Unpainted Area} = 459 \, \mathrm{ft}^2$

Calculate the percentage of the apartment that did not get painted using the formula:
$\text{Percentage Unpainted} = \left( \frac{\text{Unpainted Area}}{\text{Total Area}} \right) \times 100$

Substitute the known values into the formula and calculate the percentage.
$\text{Percentage Unpainted} = \left( \frac{459}{1,530} \right) \times 100$

Perform the division and multiplication to find the percentage.
$\text{Percentage Unpainted} = 0.3 \times 100 = 30\%$

Choose the correct answer from the options given.
The correct answer is: D. $30\%$