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:
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