Question

Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?

a. 2.5 square centimeters
b. 60 square centimeters
c. 150 square centimeters
d. 24 square centimeters

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the postcard, we first need to determine the width of the postcard after resizing the photo.

Since the original photo measures 6 cm by 4 cm, the ratio of its length to width is 4:6 or 2:3. This means that the width of the photo is (6/4) x 4 = 6 cm.

Now, we can find the scale factor by dividing the desired length of the postcard (15 cm) by the length of the photo (4 cm):

Scale factor = 15 cm / 4 cm = 3.75

Now we can find the width of the postcard by multiplying the width of the photo by the scale factor:

Width of postcard = 6 cm x 3.75 = 22.5 cm

Finally, we can calculate the area of the postcard:

Area = Length x Width = 15 cm x 22.5 cm = 337.5 square centimeters

Therefore, the area of the postcard is 337.5 square centimeters. None of the provided answer choices match this result, so the correct option would be:

e. 337.5 square centimeters

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

My apologies for the error. Let's recalculate:

The length of the postcard is given as 15 cm and the width of the resized photo is 6 cm.

To find the width of the postcard, we can use proportion:

6 cm (width of the photo) / 4 cm (length of the photo) = x cm (width of the postcard) / 15 cm (length of the postcard)

Solving for x:

x = (6 cm * 15 cm) / 4 cm = 22.5 cm

Now, we can calculate the area of the postcard:

Area = length x width = 15 cm x 22.5 cm = 337.5 square centimeters

Therefore, the correct answer is:

e. 337.5 square centimeters