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
The ratio between the lengths of the two rectangles is equal to the ratio between their widths since they are similar.
Let's denote the unknown length of the larger rectangle as x:
25 cm / 12.25 cm = x / 49 cm
Cross-multiplying, we get:
12.25 cm * x = 25 cm * 49 cm
x = (25 cm * 49 cm) / 12.25 cm
x ≈ 100 cm
Therefore, the length of the larger rectangle is approximately 100 cm.
The correct answer is b) 100 cm