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kari74 [83]
3 years ago
5

What is the area of this composite figure? A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 1

6 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.
Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

  256 cm^2

Step-by-step explanation:

The area of the rectangle is the product of its length and width.

  A = (16 cm)(10 cm) = 160 cm^2

The area of each triangle is half the product of its base and height.

  A = (1/2)(16 cm)(6 cm) = 48 cm^2

__

Then the area of the rectangle and 2 triangles is ...

  160 cm^2 + 2(48 cm^2)  = 256 cm^2

The area of the composite figure is 256 cm^2.

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Step-by-step explanation:

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<u />

<u>Part 1</u>

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Substitute these values into the equation and solve for k:

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Apply the exponent rule \left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c} :

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<u>Part 2</u>

  • The chord of a parabola is a line segment whose endpoints are points on the parabola.  

We are told that one end of the chord is at (\frac23 ,1) and that the chord is horizontal.  Therefore, the y-coordinate of the other end of the chord will also be 1.  Substitute y = 1  into the equation for the parabola and solve for x:

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\implies \dfrac19 = \left(x-\dfrac13 \right)^2

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To calculate the length of the chord, find the difference between the x-coordinates:  

\implies \dfrac23-0=\dfrac23

**Please see attached diagram for drawn graph. Chord is in red**

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