Question
A rectangle has a length of 25 cm and a width of 12.25 A larger similar rectangle has width 49 cm what is the length of the larger rectangle
Answers
GPT 3.5
To find the length of the larger rectangle, we can use the concept of similar triangles.
Let the length of the larger rectangle be x cm.
Since the rectangles are similar, the ratio of corresponding sides will be equal.
So,
\( \frac{25}{12.25} = \frac{x}{49} \)
\( x = \frac{25 \times 49}{12.25} \)
\( x = 100 \)
Therefore, the length of the larger rectangle is 100 cm.
Let the length of the larger rectangle be x cm.
Since the rectangles are similar, the ratio of corresponding sides will be equal.
So,
\( \frac{25}{12.25} = \frac{x}{49} \)
\( x = \frac{25 \times 49}{12.25} \)
\( x = 100 \)
Therefore, the length of the larger rectangle is 100 cm.