# What is the area of the pentagon shown?

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## Question:

What is the area of the pentagon shown?

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:

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.

#SPJ2

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