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
98 cm
100 cm
100 cm
4 cm
4 cm
24.01 cm
Let's first find the ratio of the width of the larger rectangle to the width of the smaller rectangle:
49 cm / 12.25 cm = 4
This means that the larger rectangle is 4 times wider than the smaller rectangle.
Since the rectangles are similar, the ratio of the length of the larger rectangle to the length of the smaller rectangle will be the same:
Length of larger rectangle = 25 cm * 4 = 100 cm
Therefore, the length of the larger rectangle is 100 cm.
Answer: 100 cm