Find the area in square inches of the figure shown.

Find The Area In Square Inches Of The Figure Shown.

Answers

Answer 1

Answer:

8 * 17 = 136

39 * 36 = 1404

1482 + 136 = 1540

Step-by-step explanation:

Answer 2

The area of the figure is 330 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the figure be composed of two different right angled triangles

Now ,  Let the first triangle be ΔABC

Let the second triangle be ΔBCD

Length of first triangle = 36 inches

Base of second triangle = 8 inches

Since the base of the first triangle is equal to the length of the second triangle ,

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying the equation , we get

base² = hypotenuse² - height²

BC² = 17² - 8²

BC² = 289 - 64

BC² = 225

Taking square roots on both sides , we get

BC = 15 inches

Therefore , the base of the first triangle and the length of the second triangle is 15 inches

Now , to find the area

Total area of figure = Area of first Triangle + Area of second triangle

The area of the triangle = ( 1/2 ) x Length x Base

Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )

                                = ( 1/2 ) x 540 + ( 1/2 ) x 120

                                = 270 + 60

                                = 330 inches²

Therefore , the value is 330 inches²

Hence , The area of the figure is 330 inches²

To learn more about triangles click :

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Each lemon yields 2 tablespoons, which is equal to one fluid ounce.  

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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