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Artyom0805 [142]
3 years ago
5

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

e ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
TYSM

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

<u><em>Answer:</em></u>

Area of the polygon = 59 in²

<u><em>Explanation:</em></u>

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

<u>Therefore:</u>

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

<u>1- getting the area of the upper triangle:</u>

<u>We have:</u>

base of triangle = 7 in

height of triangle = 6 in

<u>Therefore:</u>

Area of upper triangle = \frac{1}{2}*base*height = \frac{1}{2}*7*6=21 in²

<u>2- getting the area of the side triangle:</u>

<u>We have:</u>

base of triangle = 4 in

height of triangle = 5 in

<u>Therefore:</u>

Area of upper triangle = \frac{1}{2}*base*height = \frac{1}{2}*4*5=10 in²

<u>3- getting the area of the rectangle:</u>

<u>We have:</u>

length of rectangle = 7 in

width of rectangle = 4 in

<u>Therefore:</u>

Area of rectangle = length x width = 7 x 4 = 28 in²

<u>4- getting the total area of the polygon:</u>

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

<u>Therefore:</u>

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

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