Question

Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.

Answer 1

Answer:

13.7 ft²

Step-by-step explanation:

The figure is made up of two regular shapes.

1. A semi-circle of 3.6 ft

radius = 3.6/2 = 1.8 ft

Area = 1/2 × 3.14 × 1.8²

         = 5.0868 ft²

2. A triangle

Area = 1/2 × base length × height

         = 1/2 × 3.6 × 4.8

         = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                              = 13.7268 ft²

To the nearest tenth = 13.7 ft²

Answer 2

The Area of the irregular figure = 13.7 ft²

The irregular shape is made up of a semi-circle and a triangle

Area of a triangle = 0.5 x base x height

The base = 3.6 feet

The height = 4.8 feet

Substituting these values into the formula for calculating the area of the triangle, we have:

Area of the triangle = 0.5 x 3.6 x 4.8

Area of the triangle = 8.64 ft²

Area of the semicircle = 0.5πr²

π = 3.14

The radius, r = 3.6/2

r = 1.8 feet

Area of the semicircle = 0.5 x 3.14 x 1.8²

Area of the semicircle = 5.09  ft²

Area of the irregular figure = Area of the semicircle + Area of the triangle

Area of the irregular figure = 5.09 ft² + 8.64 ft²

Area of the irregular figure = 13.73ft²

Area of the irregular figure = 13.7 ft² (to the nearest tenth)

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