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Stella [2.4K]
3 years ago
13

Find the area of the image below .

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
8 0
<span>The answer is: A. 41 square units. Let point F be (6,5). The total area (A0) is the sum of the area (A1) of the right triangle A B F and the area (A2) of the square C D E F: A0 = A1 + A2. The area of the right triangle A B F is: A1 = (B F * A F)/2. From the image: B F = 10 units and A F = 5 units. So: A1 = (10 * 5)/2 = 50/2 = 25 square units. The area of the square is: A2 = C D * D E. From the image: C D = D E = E F = F C = 4 units. So: A2 = 4^2 = 16 units. From here, the total area is: A0 = A1 + A2 = 25 + 16 = 41 square units.</span>
Rudiy273 years ago
8 0

Answer:

its 41

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Consider the attached figure. The whole rectangle is ABCD, while AEGF is the part located in the third quadrant. In fact, this quadrant is composed by all the points with both coordinates negative.

To answer the question, let's compute the area of the two rectangles and see what part of ABCD is AEGF.

A and B have the same x coordinate, so the length of AB is given by the absolute difference of their y coordinates:

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Similarly, but exchanging the role of x and y, we compute the length of BC:

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The same procedure allows us to compute width and height of the sub-rectangle in the third quadrant:

\overline{AE} = |A_y-E_y| = |-3-0| = |-3| = 3

\overline{EG} = |E_x-G_x| = |-4-0| = |-4| = 4

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This means that the ratio between the two area is

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If we want this ratio to be a percentage, just make sure that the denominator is 100:

\cfrac{12}{50} = \cfrac{12}{50}\cdot \cfrac{2}{2} = \cfrac{24}{100} = 24\%

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