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?

1 answer

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.