What is the area of the pentagon shown?

Students were asked over to answer a question at academics and to tell what is most important for them to succeed. From the numerous responses, the one which that stood out was practice. Successful people are certainly not born successful; they become successful by just hard work and commitment. If you would like to reach your goals, keep this in mind! shown below some question and answer examples that you may use to enhance your knowledge and gain insight that will assist you to continue your school studies.

Question:

What is the area of the pentagon shown?

Answer:

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:

  • Step 1 of 4

The area of the triangle = 1/2×Base × Height

=1/2×4×3

=2×3 cm²

=6 cm²

  • Step 2 of 4

The area of the smaller rectangle = Length × Breadth

=16×3 cm²

=48 cm²

  • Step 3 of 4
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The area of the bigger rectangle = Length × Breadth

=20×15 cm²

=300 cm²

  • Step 4 of 4

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.

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