Question

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?(1 point)
Responses

Answer 1

To find the length of the larger rectangle, we can use the concept of similarity. Similar figures have proportional sides.

Let the length of the larger rectangle be x cm.

Using the given information, we can set up a proportion:

25/12.25 = x/49

To solve for x, we can cross multiply:

12.25 * x = 25 * 49

Simplifying,

12.25x = 1225

Dividing both sides by 12.25,

x = 100

Therefore, the length of the larger rectangle is 100 cm.