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?
Please answer correctly.
We can start by finding the scale factor between the original print and the postcard.
Scale factor = postcard length / original length
Scale factor = 15 / 6
Scale factor = 2.5
This means that the postcard will be 2.5 times larger than the original print.
To find the dimensions of the resized photo, we can multiply the original dimensions by the scale factor:
Length = 6 cm x 2.5 = 15 cm
Width = 4 cm x 2.5 = 10 cm
Now that we have the dimensions of the postcard, we can find its area:
Area = Length x Width
Area = 15 cm x 10 cm
Area = 150 cm²
Therefore, the area of the postcard will be 150 square centimeters.
To solve this problem, you need to find the width of the postcard first. Since the length of the postcard is given as 15 centimeters, and the ratio of length to width remains the same after resizing, we can set up a proportion.
Let's use the ratio of length between the print and the postcard:
Length of the print / Width of the print = Length of the postcard / Width of the postcard
In this case, we have:
6 centimeters / 4 centimeters = 15 centimeters / Width of the postcard
To find the width of the postcard, we can rearrange the proportion:
Width of the postcard = (4 centimeters * 15 centimeters) / 6 centimeters
Width of the postcard = 10 centimeters
Now that we have the dimensions of the postcard (15 centimeters by 10 centimeters), we can find its area by multiplying the length and width:
Area of the postcard = Length of the postcard * Width of the postcard
Area of the postcard = 15 centimeters * 10 centimeters
Area of the postcard = 150 square centimeters
Therefore, the area of the postcard will be 150 square centimeters.
To find the area of the postcard, we need to determine the width of the postcard first. Since the proportional change in dimensions is the same for both length and width, we can use the ratio of the original print's length to width to find the width of the postcard.
Given:
Original print length = 6 centimeters
Original print width = 4 centimeters
Postcard length = 15 centimeters
The ratio of the original print's length to width is 6:4.
To find the width of the postcard:
Postcard width = (Original print width / Original print length) x Postcard length
Substitute the values into the formula:
Postcard width = (4 cm / 6 cm) x 15 cm = (2/3) x 15 cm = 10 cm
Now that we have the length and width of the postcard, we can calculate its area:
Area of postcard = length x width = 15 cm x 10 cm = 150 square centimeters
Therefore, the area of the postcard will be 150 square centimeters.