Get the most out of your questions with the extensive resources available on IDNLearn.com. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.


Someone please help me, I’m completely lost


Someone Please Help Me Im Completely Lost class=

Sagot :

Answer:

The answer is B, 396 square units.

Step-by-step explanation:

We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.

The base of the figure is 8*12 = 96.

The rectangle at the back of the figure is 8*9 = 72.

To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.

The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.

Now we sum up the areas: 96 + 72 + 120 + 108 = 396