Question

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Length and Area in Scale Drawings Quick Check
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Question
Solve the following problem: 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?(1 point)
Responses

150 square centimeters
150 square centimeters

2.5 square centimeters
2.5 square centimeters

60 square centimeters
60 square centimeters

24 square centimeters
24 square centimeters
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Answer 1

To find the area of the postcard, we first need to determine the new dimensions based on the scale factor from the original photo dimensions.

The original photo measures:
- Length: 6 centimeters
- Width: 4 centimeters

Since Natalia wants the length of the postcard to be 15 centimeters, we need to calculate the scale factor:

Scale factor = New length / Original length
Scale factor = 15 cm / 6 cm = 2.5

Now, we can find the new width of the postcard using the scale factor:

New width = Original width × Scale factor
New width = 4 cm × 2.5 = 10 cm

Now, we can calculate the area of the postcard:

Area = Length × Width
Area = 15 cm × 10 cm = 150 square centimeters

Therefore, the area of the postcard will be **150 square centimeters**.