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Angelina_Jolie [31]
2 years ago
14

(05.03)Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plat

e 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

Mathematics
1 answer:
kifflom [539]2 years ago
7 0

Answer:

83 square inches

Step-by-step explanation:

Let's find the answer, you can see the attached file for clarity.

Because we have a rectangle measuring 8 inches by 5 inches, we can use the area of the rectangle as follows:

A1=base*height=(8 inches)*(5 inches)=40 square inches

Now, because we have a triangle over the square side of 8 inches long, we can divide the triangle into 2 rectangle triangles, each of them with a base of 4 inches and a height of 7 inches, obtaining:

A2=2*(base*height/2)=2*(4 inches)*(7 inches)/2=28 square inches

Doing the same for the other triangle we get 2 triangles with a base of 2.5 inches and a height of 6 inches, obtaining:

A3=2*(base*height/2)=2*(2.5 inches)*(6 inches)/2=15 square inches

The addition of all areas is:

A=A1+A2+A3=40 square inches + 28 square inches + 15 square inches

A=83 square inches.

In conclusion we have an area of 83 square inches.

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Answer:

The required probability is : \frac{1}{15}

Step-by-step explanation:

Three married couples have purchased theater tickets and are seated in a row consisting of just six seats.

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