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What is the area of the polygon given below

What is the area of the polygon given below-example-1
User Bartosss
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2 Answers

4 votes

Answer:

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

User Novol
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8.2k points
7 votes

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

User PlayDeezGames
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