Question

What is the area of the polygon given below

Answer 1

340 square units.

Explanation:

Divide the shape into 2 different rectangles.

The rectangle on the left measures 4x19, which equals 76.

The rectangle on the right measures 11x24, which equals 264.

76+264 = 340

Answer 2

For this case, we must find the area of the polygon shown in the figure. To do this, we divide the figure into two parts.

`A_ {1} = l_ {1} * w_ {1}\\A_ {1} = 24 * 11\\A_ {1} = 264 \ square \ units`

On the other hand:

`A_(2) = l_ {2} * w_ {2}\\A_(2) = (4 + 4 + 11) * 4\\A_(2) = 19 * 4\\A_ {2} = 76 \ square \ units`

So, the total area is:

`A_ {t} = A_ {1} + A_ {2}\\A_ {t} = 264 \ square \ units + 76 \ square \ units\\A_ {t} = 340 \ square \ units`

Answer:

`340 \ square \ units`