solve the following problem: natalie prints a photo of a covered bridge. the print measures 6 cm by 4 cm. she wants to resize the photo into the size of a postcard with a length of 15 cm. what will be the area of the postcard?
The initial area of the photo is given by the product of its length and width: 6 cm * 4 cm = 24 cm^2.
To resize the photo into a postcard with a length of 15 cm, we need to find the new width. We can determine this by scaling the original dimensions proportionally.
Let's set up a proportion to find the new width:
Original width / Original length = New width / New length
Using the given values:
4 cm / 6 cm = New width / 15 cm
Cross-multiplying, we have:
4 cm * 15 cm = 6 cm * New width
60 cm^2 = 6 cm * New width
Dividing both sides by 6 cm:
60 cm^2 / 6 cm = New width
10 cm = New width
So, the new dimensions of the resized photo are 15 cm by 10 cm.
The area of the postcard is given by the product of its length and width: 15 cm * 10 cm = 150 cm^2.
Therefore, the area of the postcard will be 150 cm^2.
Are you sure
I apologize for the mistake in my previous response. Let's solve the problem correctly:
The initial area of the photo is given by the product of its length and width: 6 cm * 4 cm = 24 cm^2.
To resize the photo into a postcard with a length of 15 cm, we need to find the new width. We can determine this by scaling the original dimensions proportionally.
Let's set up a proportion to find the new width:
Original width / Original length = New width / New length
Using the given values:
4 cm / 6 cm = New width / 15 cm
Cross-multiplying, we have:
4 cm * 15 cm = 6 cm * New width
60 cm^2 = 6 cm * New width
Dividing both sides by 6 cm:
60 cm^2 / 6 cm = New width
10 cm = New width
So, the new dimensions of the resized photo are 15 cm by 10 cm.
The area of the postcard is given by the product of its length and width: 15 cm * 10 cm = 150 cm^2.
Therefore, the correct answer is that the area of the postcard will be 150 cm^2.