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) 4cm
b)100cm
c)98cm
d)24.01cm
We can set up a proportion to solve this problem. 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 gives:
12.25x = 49 * 25
12.25x = 1225
Dividing both sides by 12.25 gives:
x = 1225/12.25
x = 100
Therefore, the length of the larger rectangle is 100 cm.
The answer is b) 100cm.