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Serjik [45]
2 years ago
5

What is the area of the rectangle shown on the coordinate plane? enter your answer in the box. Do not round at any steps. Units²

.
SAT
1 answer:
nadya68 [22]2 years ago
6 0

The area of this rectangle is 42 units.

<h3>What is the area of a polygon?</h3>

The area of a polygon refers to the total surface a polygon covers. This can include the total surface of a triangle, rectangle, octagon, etc.

<h3>How to calculate the area?</h3>

There are specific formulas to calculate the area of different polygons. In the case of rectangles the general formula is:

  • A = length x width

Moreover, because there are diagonal lines, you need to use this formula to calculate the distance of the length and width.

  • √[(x2-x1)²+(y2-y1)²

Length:

(5,2) (12 ,-5) coordinates in the plane for the upper length

  • √(5-12)²+(2- (-5)²
  • √(-7)²+(7)²
  • √49 + 49
  • 9.89

Width:

(2, -1) (5, 2) coordinates in the plane

  • √(2-5)²+(-1- 2)²
  • √(-3)²+(3)²
  • √9 + 9
  • √18
  • 4.24

4.24 x 9.89 = 41.9, which can be rounded as 42 units.

Note: This question is incomplete; below I attach the missing section.

Learn more about polygon in: brainly.com/question/2511126

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What is the area of the rectangle shown on the coordinate plane? enter your answer in the box. Do not round at any steps. Units²
nadya68 [22]

The area of this rectangle is 42 units.

<h3>What is the area of a polygon?</h3>

The area of a polygon refers to the total surface a polygon covers. This can include the total surface of a triangle, rectangle, octagon, etc.

<h3>How to calculate the area?</h3>

There are specific formulas to calculate the area of different polygons. In the case of rectangles the general formula is:

  • A = length x width

Moreover, because there are diagonal lines, you need to use this formula to calculate the distance of the length and width.

  • √[(x2-x1)²+(y2-y1)²

Length:

(5,2) (12 ,-5) coordinates in the plane for the upper length

  • √(5-12)²+(2- (-5)²
  • √(-7)²+(7)²
  • √49 + 49
  • 9.89

Width:

(2, -1) (5, 2) coordinates in the plane

  • √(2-5)²+(-1- 2)²
  • √(-3)²+(3)²
  • √9 + 9
  • √18
  • 4.24

4.24 x 9.89 = 41.9, which can be rounded as 42 units.

Note: This question is incomplete; below I attach the missing section.

Learn more about polygon in: brainly.com/question/2511126

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