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 4 cm 4 cm 98 cm 98 cm 24.01 cm 24.01 cm 100 cm
The length and width of the larger rectangle will be in proportion to the original rectangle.
Let x be the length of the larger rectangle.
Using the ratio of the widths, we have:
12.25 cm / 25 cm = 49 cm / x
Cross multiply to solve for x:
12.25 * x = 25 * 49
12.25x = 1225
x = 1225 / 12.25
x = 100 cm
Therefore, the length of the larger rectangle is 100 cm.