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Oxana [17]
3 years ago
7

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 65 feet, and the length of the other

base is 44 feet. The height is 30 feet. What is the area of this section of the deck? The area for the section of the deck is ft2.
Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

1635 feets²

Step-by-step explanation:

The Area of a trapezoid is given as :

1/2 (a +b)h

Where ;

a and b are the base of the trapezoid

h = height

From the question :

a = 65 feets

b = 44 feets

h = 30 feets

Area, A = 1/2(65 + 44) * 30

A = 1/2 (109) * 30

A = 1635 feets²

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<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

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