imsynclol imsynclol
  • 09-04-2021
  • Mathematics
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Find the area of the composite figure. Round your final answer to the tenth.

Find the area of the composite figure Round your final answer to the tenth class=

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cwrw238 cwrw238
  • 09-04-2021

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

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