Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. M(-2,5), N(3,-2), P(-2,-2
)
2 answers:
Answer:
- see below for a drawing
- right triangle
- perimeter = 20.6 units
- area = 17.5 units²
Step-by-step explanation:
A graph shows the figure to be a right triangle with a base of 5 units and a height of 7 units. Its hypotenuse will be given by the Pythagorean theorem:
MN² = MP² +PN²
MN² = 7² +5² = 74
MN = √74 ≈ 8.60
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The perimeter is the sum of the side lengths:
Perimeter = MN +MP +PN = 8.60 +7 +5
Perimeter = 20.60 . . . . units
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The area is given by the area formula:
Area = 1/2bh = 1/2·5·7 = 35/2
Area = 17.5 . . . . square units
The polygon is a right triangle with a perimeter of 20.60 units and an area of 17.5 square units
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Answer: OPTION B
Step-by-step explanation:
You can find the distance between two points by using the following formula:
Given the points (-2,-6) and (0,5), you can identify that:
Therefore, substituting values, you get that the distance between those points is: