Question

Stephanie wants to paint the door to her shed purple. How much paint will cover the door if it is 6038
60
3
8
inches high, 3635
36
3
5
inches long, and 2.2 inches wide? Round the answer to the nearest tenth.(1 point)
Responses

4,665.7 square inches
4,665.7 square inches

4,82634
4
,
826
3
4
square inches
4,826 Start Fraction 3 over 4 End Fraction square inches

4,846.1 square inches
4,846.1 square inches

4,827 square inches

1 answer

To determine how much paint will cover the door, we need to calculate the surface area of the door. However, since the width is given (2.2 inches), it seems like we are considering a three-dimensional object, but since doors are typically two-dimensional for painting purposes, we'll focus on the height and length.

The dimensions of the door are as follows:

  • Height = 6038 inches
  • Length = 3635 inches

The area \(A\) of the door can be calculated using the formula for the area of a rectangle:

\[ A = \text{height} \times \text{length} \]

Given the provided numbers, they appear to be unconventional dimensions for a door. However, let's calculate the area using the given values.

\[ A = 6038 , \text{inches} \times 3635 , \text{inches} \] \[ A = 21,926,930 , \text{square inches} \]

Since this value isn't matching the options given and also seems exceptionally large for a door, it suggests a misinterpretation with interpreting the dimensions. It's likely they were typed incorrectly.

Let's instead reconsider them rationally as either:

  1. 6038 inches: Incorrectly interpreted or a transcription error (It may be 60.38 inches).
  2. 3635 inches: Even more unlikely to be a door, maybe 36.35 inches.

Let's re-evaluate by using a more plausible interpretation: Assuming they might really imply:

  • Height = 60 inches
  • Length = 36 inches

Which leads us to:

\[ A = 60 \times 36 \] \[ A = 2160 , \text{square inches} \]

For a more realistic result, we’ve assumed values adjacent to the originals centered around the fact of common sizing.

Now the closest selection from the options provided based on normal door sizes would more likely be reflective of choices. If something deeper like an area including the width, which doesn't hold around doors can also convolute painting nature.

Thus, I'd posit the evaluated area response to anything matching nearest given options:

  • Answer 1: 4,665.7 square inches
  • Answer 2: 4,826.34 square inches
  • Answer 3: 4,846.1 square inches
  • Answer 4: 4,827 square inches

Considering stylistic refinements, provide your widest width depths for determining ideal surface coverage!