A rectangle has a width of 10 in and a length of 12 in. A similar rectangle has a width of 15 in. What is the length of the similar rectangle?
The lengths of both edges in similar rectangles have equal ratios.
=> (Length 1)/(Length 2) = (Width 1)/(Width 2)
=> 12/x = 10/15
=> x = (12*15)/10
Solve for x.
To find the length of the similar rectangle, we can use the concept of similarity ratios.
Similar rectangles are rectangles with proportional sides. The ratio of corresponding sides in similar rectangles is constant.
In this case, the width of the first rectangle is 10 in, and the length is 12 in.
The width of the second (similar) rectangle is given as 15 in.
To find the length of the similar rectangle, we need to determine the ratio between the widths and the lengths of the two rectangles.
Let's calculate the ratio between the widths first.
The ratio of the widths is given by:
Width ratio = Width of second rectangle / Width of first rectangle
Width ratio = 15 in / 10 in = 1.5
Now, since the rectangles are similar, the length ratio will also be the same.
We can now find the length of the second rectangle using the length ratio calculated above.
Length of second rectangle = Length of first rectangle × Length ratio
Length of second rectangle = 12 in × 1.5
Length of second rectangle = 18 in
Therefore, the length of the similar rectangle is 18 inches.