The two rectangles above are similar. If a = 4 in, b = 8 in, and d = 16 in, what is the length of c?
Since the two rectangles are similar, their corresponding sides are proportional.
Let x be the length of side c.
Using the property of similar rectangles, we have:
a / b = c / d
Substitute the given values:
4 / 8 = x / 16
Simplify the equation:
1/2 = x / 16
To solve for x, multiply both sides by 16:
x = 1/2 * 16
x = 8 in
Therefore, the length of side c is 8 inches.