A photograph is 25 cm and 20 cm high. It must be reduced to fit a space that is 8 cm high. Find the width of the reduced photograph.
Cross multiply and solve for x.
25/x = 20/8
12
To find the width of the reduced photograph, we can use the concept of proportional ratios.
Let's set up a proportion between the height and width of the original photograph and the reduced photograph:
Original height / Original width = Reduced height / Reduced width
Given:
Original height = 25 cm
Original width = 20 cm
Reduced height = 8 cm
Plugging in the values, we get:
25 cm / 20 cm = 8 cm / Reduced width
To find the reduced width, we can cross multiply and solve the equation:
25 cm * Reduced width = 20 cm * 8 cm
Reduced width = (20 cm * 8 cm) / 25 cm
Reduced width = 160 cm cm / 25 cm
Reduced width = 6.4 cm
Therefore, the width of the reduced photograph is 6.4 cm.