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 100 cm 100 cm
4 cm 4 cm
24.01 cm 24.01 cm
98 cm

Answer 1

We can solve this problem by using the concept of similarity of shapes. The two rectangles are similar, which means that their corresponding sides are proportional.

Let's set up a proportion to find the length of the larger rectangle:

Length of larger rectangle / Length of smaller rectangle = Width of larger rectangle / Width of smaller rectangle

x / 25 = 49 / 12.25

Cross-multiplying, we have:

x * 12.25 = 25 * 49

x * 12.25 = 1225

Dividing both sides by 12.25, we get:

x = 1225 / 12.25

x ≈ 100

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