Natalia has a photo that measures 6cm by 4cm. She wants to resize the photo into the size of a postcard with the length of 15cm. What will be the area of the postcard?
To resize the photo without distorting it, we need to maintain the aspect ratio.
The original aspect ratio of the photo is 6:4, which simplifies to 3:2.
To find the width of the resized photo, we can use the proportion:
4cm / 6cm = x / 15cm
Solving for x, we get:
x = (4/6) * 15
x = 10cm
Therefore, the resized photo will be 10cm by 15cm.
To find the area of the postcard, we can use the formula:
Area = length * width
Area = 15cm * 10cm
Area = 150cm^2
Therefore, the area of the postcard will be 150 cm^2.