Question

)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

Answer 1

Answer: 83 inch²

Explanation:

First find the area of the rectangle:

= Length * Width

= 8 * 5

= 40 inch²

Then find the area of the first traingle:

= 1/2 * base * height

= 1/2 * ( 4 + 4) * 7

= 28 inch²

Then the second triangle:

= 1/2 * base * height

= 1/2 * (2.5 + 2.5) * 6

= 15 inch²

The area of the polygon is the sum of all these:

= 40 + 28 + 15

= 83 inch²