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

98 cm

4 cm

100 cm

24.01 cm

2 answers

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

The ratio of the length of the larger rectangle to the length of the smaller rectangle should be equal to the ratio of the widths.

So, the ratio of the lengths is ?? / 25 = 49 / 12.25

To find ??, we can cross multiply:

12.25 * 49 = 25 * ??

?? ≈ 24.01

Therefore, the length of the larger rectangle is approximately 24.01 cm.
△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Responses

30 m
30 m

9 m
9 m

25 m
25 m

0.6 m