Calculate Rectangle Area: Similar Shape with Side Length 6

Question

Calculate the area of a polygon similar to the one above given that A'B' = 6.

00:00 Find the area of the polygon

00:03 Let's calculate the polygon's area by multiplying side by side

00:10 This is polygon 1's area

00:13 Side length according to the given data

00:18 Similar polygons according to the given data

00:24 Let's find the similarity ratio

00:28 This is the similarity ratio

00:33 The area ratio equals the similarity ratio squared

00:42 Let's substitute the area value and solve for polygon 2's area

00:52 Multiply by the reciprocal to isolate the area

00:56 And this is the solution to the question