Answer :

Area of Pentagonal figure = 368 feet²

Explanation:

To find the area of the Pentagonal figure, we need to divide the shape into figures we can easily find their areas.

The Pentagonal figure comprise of a triangle and a rectangle.

Area Pentagonal figure = Area of triangle + Area of rectangle

Area of triangle = 1/2 base × height

base = 5 ft, height = 12 ft

Area = 1/2 × 5 × 12 = 30

Area of triangle = 30 feet²

Area of rectangle = length × width

length = 26ft, with = 13 ft

Area of rectangle = 26 × 13

Area of rectangle = 338 feet²

Area of Pentagonal figure = 30 feet² + 338 feet²

Area of Pentagonal figure = 368 feet²

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