What is the area of this figure? Part 4 NO LINKS!!!

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Explanation:

Surround the entire figure in a bounding rectangle as shown below.

This surrounding rectangle is 23 by 27. It's total area is 23*27 = 621 square yards.

For a moment, let's ignore the 3x3 section marked in the dashed lines. The empty space in the bottom left corner is 15+3 = 18 by 9+3 = 12. Its area is 18*12 = 216 square yards. Accounting for the dash line 3x3 section means we subtract 9 from the 216 to get 216-9 = 207. The empty space takes up 207 square yards.

So the purple region must take up 621-207 = 414 square yards

  414 yd²

Step-by-step explanation:

The area can be resolved into three rectangles. The figure's area is the sum of the areas of those.

  Figure area = sum of LW

  = (23 yd)(15 yd) +(3 yd)(3 yd) +(5 yd)(12 yd)

  = 345 yd² +9 yd² +60 yd²

  = 414 yd²

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: