Let's set up a proportion to solve this problem. We know that the length and width of the smaller rectangle are in a ratio of 25 cm to 12.25 cm. We can set up the proportion:
$\frac{25 \text{ cm}}{12.25 \text{ cm}}=\frac{x \text{ cm}}{49 \text{ cm}}$
Cross-multiplying, we have $25 \cdot 49=12.25 \cdot x$, or $1225=12.25x$.
Dividing both sides by 12.25, we find that $x=100$.
Therefore, the length of the larger rectangle is $\boxed{\text{100 cm}}$.
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?
A 100 cm
B 24.01 cm
C 98 cm
D 4 cm
1 answer