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05.03)Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.

Pentagon with square measuring 8 inches by 5 inches and two triangles with heights of 7 inches and 6 inches.

72.5 in2
75.5 in2
83 in2
96 in2

Respuesta :

The area of the polygon is 83 sq.inch , Option D is the answer.

The missing figure is attached with the answer.

What is a Polygon ?

A closed figure with three or more sides is a polygon , A triangle , quadrilateral ,pentagon, etc are all polygon.

It is given that

Area of the polygon needs to be determined

The polygon is a pentagon

Side of rectangle is 8 inches * 5 inches

and two triangles with  heights of 7 inches and 6 inches.

From the figure , to calculate the total area

Total Area of polygon =  Area of the rectangle + area of triangle 1 + area of triangle 2

Area of rectangle = length * Breadth

Area of Rectangle = 8*5 = 40 sq.inch

Area of triangle 1  = (1/2) * base * height

Area of triangle 1  =  (1/2) * 8 *7

Area of triangle 1  = 28 sq.inch

Area of Triangle 2 =  (1/2) * 5* 6

Area of Triangle 2 = 15 sq.inch

Total Area = 40 + 28+15

Total Area = 83 sq.inch

Therefore the area of the polygon is 83 sq.inch , Option D is the answer.

To know more about Polygon

https://brainly.com/question/17756657

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