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Donna is putting down tile on her outdoor deck. The shape of her deck is shown below. Each unit on the coordinate plane represents 5 feet. Find the area of flooring needed in square feet.

Round your final answer to the nearest tenth.

Donna is putting down tile on her outdoor deck The shape of her deck is shown below Each unit on the coordinate plane represents 5 feet Find the area of floorin class=

Respuesta :

The given area presented on the coordinate plane has dimensions

given by the lengths of the line joining the vertices.

Response:

  • The area of the flooring needed is 13.5 ft²

How can the area of the shape be calculated?

The given figure can be taken as a composite figure of wo triangles and

a trapezium.

Area of the triangle at the top, A₁ = 0.5 × 4.5 × 1 = 2.25

Area of the trapezoid, A₂ = 0.5 × (6 + 4.5) × 1 = 5.25

Area of the bottom triangle, A₃ = 0.5 × 2 × 6 = 6

Therefore;

Area of the figure, A = A₁ + A₂ + A₃

Which gives;

A = 2.25 + 5.25 + 6 = 13.5

  • Area of the flooring needed, A = 13.5 ft²

Learn more about composite figures here:

https://brainly.com/question/12114614

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