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

Answer 1

We know that the two rectangles are similar, which means that their corresponding sides are proportional.

To find the length of the larger rectangle, we can set up a proportion using the widths of the two rectangles:

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

Let's plug in the values we know:

Length of larger rectangle / 25 cm = 49 cm / 12.25 cm

Cross-multiplying, we get:

Length of larger rectangle = (49 cm / 12.25 cm) * 25 cm

Simplifying the fraction, we get:

Length of larger rectangle = (4 cm / 1 cm) * 25 cm

Length of larger rectangle = 4 * 25 cm

Length of larger rectangle = 100 cm

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