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Vesnalui [34]
2 years ago
12

Find the area of each shape by decomposing each shape into rectangle and/or triangle.

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Remark

You don't have to decompose the second one, and it is better if you don't. Just find the area as you probably did: use the formula for a trapezoid. You have to assume that the 6cm line hits the 2 bases at right angles for each of them, otherwise, you don't know the height. So I'm going to assume that we are in agreement about the second one.

Problem One

The answer for this one has to be broken down and unfortunately, you answer is not right for the total area, although you might get 52 for the triangle. Let's check that out.

<em><u>Triangle</u></em>

Area = 1/2 * b * h

base = 16 cm

h = 10 - 4 = 6

Area = 1/2 * 16 * 6

Area = 48

<em><u>Area of the Rectangle</u></em>

Area = L * W

L = 16

W = 4

Area = L * W

Area = 16 * 4

Area = 64

<em><u>Total Area</u></em>

Area = 64 + 48

Area = 112  of both figures <<<< Answer

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SOLUTION

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Now, we will add this $2.19 to the initial cost, we have

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Finally we will do a discount of 10%. 10% discount is

\begin{gathered} 10\%\times38.69 \\ \frac{10}{100}\times38.69 \\ =\frac{10\times38.69}{100} \\ =\frac{386.9}{100} \\ =3.869 \end{gathered}

We will then subtract this 3.869 from 38.69, we get

\begin{gathered} 38.69-3.869 \\ =34.821 \end{gathered}

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3 0
1 year ago
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djverab [1.8K]
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If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.

The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:

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Answer:

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Answer:

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Step-by-step explanation:

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