Rectangles S and T are similar. If the area of rectangle S is 85, what is the area of rectangle T?
s 17 A=85
t 7.65
The formula for calculating the area of a rectangle is length x width. Since rectangles S and T are similar, their corresponding sides are in proportion.
So, if the area of rectangle S is 85, and the side length ratio between rectangles S and T is 17:7.65, we can set up a proportion to find the area of rectangle T:
(17/x) = (85/7.65)
Cross multiplying, we get:
17 * 7.65 = 85x
130.05 = 85x
x = 130.05 / 85
x ≈ 7.65
Therefore, the area of rectangle T is approximately 7.65.