The area of the pentagon shown is 354 cm².
The area of the pentagon can be found by dividing the given figure using line segments.
What is the area of a polygon?
The area of a polygon is the value of the quantity of area that the polygon covers.
How to find the area of a triangle?
The area of a triangle can be found by using the formula below:
Area = 1/2×Base × Height
How to find the area of a rectangle?
The area of a rectangle can be found by using the formula below:
Area = Length × Breadth
We can draw the image as given.
Now we have to find the area of the triangle, the smaller rectangle, and the bigger rectangle.
Steps:
The area of the triangle = 1/2×Base × Height
=1/2×4×3
=2×3 cm²
=6 cm²
The area of the smaller rectangle = Length × Breadth
=16×3 cm²
=48 cm²
The area of the bigger rectangle = Length × Breadth
=20×15 cm²
=300 cm²
Now add the areas of all the three regions to get the area of the pentagon.
Area of the pentagon = (6+48+300) cm²
=354 cm²
Therefore, we have found the area of the pentagon shown as 354 cm².
Learn more about the area here-https://brainly.com/question/18229738
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