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
To find the length of the larger rectangle, we can set up a proportion using the ratio of the lengths of the two rectangles.
Let's represent the length of the larger rectangle as "x."
We can set up the proportion:
(Length of larger rectangle)/(Length of original rectangle) = (Width of larger rectangle)/(Width of original rectangle)
Using the given measurements:
x/25 = 49/12.25
Cross-multiply and solve for x:
12.25x = 25 * 49
12.25x = 1225
x = 1225/12.25
x = 100
Therefore, the length of the larger rectangle is 100 cm.