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Amiraneli [1.4K]
3 years ago
10

Use the quadrant system to find the area of the polygon. A. 52 square units B. 45 square units C. 36 square units D. 38 square u

nits

Mathematics
2 answers:
vekshin13 years ago
5 0

For this case, we have that the polygon shown in the figure is composed of four rectangles.


1st rectangle:

It is found in the quadrant formed by the negative axis of the "x" coordinate and the positive axis of the "y" coordinate. This rectangle measures 5 units horizontally and 3 units vertically.

A1 = 5 * 3\\A1 = 15\ square\ units

2nd rectangle:

It is found in the quadrant formed by the positive axis of the "x" coordinate and the positive axis of the "y" coordinate. This rectangle measures 4 units horizontally and 2 units vertically.

A2 = 4 * 2\\A2 = 8\ square\ units

3rd rectangle:

It is located in the center of the four quadrants. This rectangle measures 5 units horizontally and 2 units vertically.

A3 = 5 * 2\\A3 = 10\ square\ units

4th rectangle:

It is in the middle of the quadrant formed by the positive axis of the coordinate "x" and the negative axis of the coordinate "y", and the quadrant formed by the negative axis of the coordinate "x" and the negative axis of the coordinate "Y".

A4 = 3 * 4\\A4 = 12\ square\ units

Thus, the total area is given by the sum of the partial areas.

At = 15 + 8 + 10 + 12\\At = 45\ square\ units

Answer:

At = 45\ square\ units

Option B


Alona [7]3 years ago
3 0

Answer:

its c 36 square units


Step-by-step explanation:


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