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
1 ANSWER PLEASE.
To find the length of the larger rectangle, we can use the concept of proportional sides in similar figures.
The ratio of the length of the larger rectangle to the length of the smaller rectangle should be the same as the ratio of the width of the larger rectangle to the width of the smaller rectangle.
This gives us:
(length of larger rectangle) / 25 cm = 49 cm / 12.25 cm
Cross multiplying, we have:
(length of larger rectangle) = (49 cm / 12.25 cm) * 25 cm
Simplifying, we get:
(length of larger rectangle) ≈ 100 cm
Therefore, the length of the larger rectangle is approximately 100 cm.
The correct answer is 100 cm.