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fenix001 [56]
3 years ago
15

PLEASE HELP!!!

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

Answer:

- 1/2 7/12 2/3 . 82

Am I right

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(-\frac{1}{2},0)

Step-by-step explanation:

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This trapezoid has been divided into two right triangles and a rectangle.
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The area of the triangle on left is in²: 9

The area of the triangle on the right is in²: 9

The area of the rectangle is in²: 108

The area of the trapezoid is in²: 126

<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

  1. Identify the basic shapes;
  2. Calculate your individual areas;
  3. Sum each area found.

For finding the area, the steps are presented below.

  • STEP 1 - Identify the basic shapes.

       

       This trapezoid is composed of two triangles and one rectangle. Therefore, you should sum the area of these geometric figures.

  • STEP 2 - Find the area of the triangle.

        Area of the triangle - A_{triangle}=\frac{b*h}{2}. The figure shows:

        b= length of the base= 2in

        h=height=9 in

        Then,  A_{triangle}=\frac{b*h}{2}=\frac{2*9}{2} =\frac{18}{2}=9 in^2

Note that the triangles are equals, consequently, they present the same values for the area.

  • STEP 3 - Find the area of the rectangle.

       Area of the rectangle- A_{rectangle}={b*h}. The figure shows:

         b= length of the base= 12 in

         h=height= 9in

        Then,  A_{rectangle}={b*h}=12*9=108 in^2 .

  • STEP 4 - Find the area of the trapezoid.

         A_{trapezoid}=2*A_{triangle}+1*A_{rectangle}\\ \\ A_{trapezoid}=2*9+1*108\\ \\ A_{trapezoid}=18+108\\ \\ A_{trapezoid}=126in^2

Learn more about the area of compound shapes here:

brainly.com/question/15884960

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2 years ago
Translate the sentence into an inequality.
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Answer:

3 · (w + 25) ≤ 27

Step-by-step explanation:

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