A rectangle has a length of 25 cm and a width of 12.25 cm. A larger similar rectangle width 49 cm. what is the length of the larger rectangle

1 answer

To find the length of the larger similar rectangle, we can use the concept of similarity of triangles.

The ratio of the length of the smaller rectangle to the length of the larger rectangle is the same as the ratio of the width of the smaller rectangle to the width of the larger rectangle.

So, we can set up a proportion to find the length of the larger rectangle:

25/12.25 = x/49

Cross multiply to solve for x:

25 * 49 = 12.25 * x
1225 = 12.25x
x = 1225/12.25
x = 100

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