Find the area of this shape

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

=

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

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step-by-step explanation: