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HELP!! please. What is the area of the polygon shown?

HELP!! please. What is the area of the polygon shown?-example-1

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Answer:

38 cm squared

Explanation:

Given figure : Trapezoid

Base sides,

a = 11 cm

b = 11 - 3 = 8 cm

height ( h ) = 4 cm

Now, finding the area:


(1)/(2) (a + b) \: h

plug the values


(1)/(2) * (11 + 8) * 4

Calculate the sum


(1)/(2) * 19 * 4

Reduce the numbers with G.C.F 2


19 * 2

Calculate the product


38 \: {cm}^(2)

Hope this helps...

Best regards!

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