To find the length of the larger rectangle, we can set up a proportion using the ratios of corresponding sides of similar rectangles.
The ratio of the length of the larger rectangle to the length of the smaller rectangle is equal to the ratio of the width of the larger rectangle to the width of the smaller rectangle.
Let x be the length of the larger rectangle.
Thus, we have:
x/25 = 49/12.25
Cross-multiplying:
12.25x = 49*25
12.25x = 1225
x = 1225/12.25
x = 100
Therefore, the length of the larger rectangle is 100 cm.
The correct answer is 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?(1 point)
Responses
4 cm
24.01 cm
100 cm
98 cm
1 answer