MATH SOLVE

3 months ago

Q:
# 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. TYSM

Accepted Solution

A:

Answer:Area of the polygon = 59 in²Explanation:From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangleTherefore:Area of polygon = area of upper triangle + area of side triangle + area of rectangle1- getting the area of the upper triangle:We have:base of triangle = 7 inheight of triangle = 6 inTherefore:Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*7*6=21[/tex] in²2- getting the area of the side triangle:We have:base of triangle = 4 inheight of triangle = 5 inTherefore:Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*4*5=10[/tex] in²3- getting the area of the rectangle:We have:length of rectangle = 7 inwidth of rectangle = 4 inTherefore:Area of rectangle = length x width = 7 x 4 = 28 in²4- getting the total area of the polygon:Area of polygon = area of upper triangle + area of side triangle + area of rectangleTherefore:Area of polygon = 21 + 10 + 28 = 59 in²Hope this helps :)