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)
In similar shapes, corresponding sides are in proportion. The ratio of the lengths of the smaller rectangle to the larger rectangle is 25/12.25.
To find the length of the larger rectangle, we can set up a proportion:
25/12.25 = x/49
Cross multiply and solve for x:
25 * 49 = 12.25 * x
1225 = 12.25x
x = 1225 / 12.25
x = 100
Therefore, the length of the larger rectangle is 100 cm.