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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:
- Identify the basic shapes;
- Calculate your individual areas;
- 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 - . The figure shows:
b= length of the base= 2in
h=height=9 in
Then,
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- . The figure shows:
b= length of the base= 12 in
h=height= 9in
Then, .
- STEP 4 - Find the area of the trapezoid.
Learn more about the area of compound shapes here:
Answer:
y = -6x^2 - 36x - 30
Step-by-step explanation:
X intercepts are the roots
y = a(x + 1)(x + 5)
to find "a" use point (0, -30)
-30 = a(1)(5)
-30 = a(5)
a = -6
therefor
y = -6(x + 1)(x + 5)
Expanded form
y = -6x^2 - 36x - 30
