Question

If the dimensions of the entire photo are 25 cm by 20 cm, what is the actual width (largest side) of the rectangular land area in meters captured by the photo?

a) 0.25 meters
b) 0.20 meters
c) 2.5 meters
d) 2.0 meters

Answer 1

The actual width of the rectangular land area captured by the photo is 0.25 meters.

Step-by-step explanation:

The problem presented is a scale conversion question that appears in a mathematics context. We are asked to determine the actual width of a rectangular land area captured in a photo, given the dimensions of the photo and a provided scale factor.

To find the actual width, we can use the scale factor which is given as 1/200. The largest side of the photo is 25 cm. Since the scale factor relates the dimensions of the photo to the real dimensions, we must multiply the photo's largest side by the scale factor to find the real width of the rectangular land area:

Real width = Photo width × Scale facto

To find the actual width of the rectangular land area captured by the photo, we need to convert the dimensions from centimeters to meters. The width of the entire photo is given as 25 cm, so this is the largest side of the rectangular land area. We can convert 25 cm to meters by dividing it by 100, since there are 100 centimeters in a meter. Therefore, the actual width of the land area is 0.25 meters.