A rectangle has a length of 25 cm and a width of 12.25 cm. A larger, similar rectangle has width 49 cm. What is the length of the larger rectangle?
help pls.
To find the length of the larger rectangle, we can use the concept of similarity.
Similar shapes have corresponding sides that are proportional.
The ratio of the widths of the two rectangles is 49 cm / 12.25 cm = 4.
Knowing that the ratio of the widths is 4, we can conclude that the ratio of the lengths of the two rectangles is also 4 (because they are similar shapes).
So, the length of the larger rectangle is 4 * 25 cm = 100 cm.