Question

What is the area of the polygon given below?

Answer 1

D.

Explanation:

To find this area, we can break it up into two rectangles, one with dimensions of 4x19 and another of 24x11. All we have to do is find the areas of both rectangles and add them together!

Since 4*19=76 and 11*24=264, we get D. 340 square units as our answer.

Answer 2

For this case we have that the area of the figure is given by the sum of the areas of two rectangles. The area of a rectangle is given by:

`A = a * b`

Where:

a, b: They are the sides of the rectangle

`A_ {1} = 24 * 11\\A_ {1} = 264`

On the other hand:

`A_(2) = 4 * (4 + 11 + 4) = 4 * 19 = 76`

Thus, the total area is:

`A_ {t} = 264 + 76\\A_ {t} = 340`

The total area is 340 square units

Answer:

Option D