The rectangles in the figure below are similar find the value of x.
2.4
2.7
6
6.7
To find the value of x, we can set up a proportion using the side lengths of the rectangles.
Let's call the side length of the smaller rectangle s, and the side length of the larger rectangle S.
We can set up the proportion as follows:
s/S = x/6
Now we can plug in the known values:
2.4/S = x/6
Cross multiply to solve for x:
2.4 * 6 = S * x
14.4 = Sx
Since the rectangles are similar, their side lengths are proportional. Therefore, we can set up another proportion using the known side lengths:
x/2.4 = 6/S
Again, plug in the known values:
x/2.4 = 6/S
x = 2.4 * 6 / S
x = 14.4 / S
Now we can set these two expressions for x equal to each other and solve for S:
14.4 = Sx
14.4 = S * 14.4 / S
14.4 = 14.4
Therefore, the value of x is 6.