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Anestetic [448]
2 years ago
8

What is the area of parallelogram RSTU?

Mathematics
2 answers:
Arte-miy333 [17]2 years ago
6 0
First, we circumscribe a rectangle about the parallelogram as shown in the figure. The size of this rectangle is 10 by 6 clearly.

Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.

Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)

Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)


Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)


Answer: 32 (square units.)

a_sh-v [17]2 years ago
3 0
I took the test it is <span>32 square units!! Hope this helps</span>
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Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

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\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

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5(3ⁿ)

<em>The expression can not be further simplified.</em>

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