Question

Find the perimeter and area of the polygon with the given vertices. Round your answers to the nearest tenth, if necessary.

E(6,−2), F(6, 5), G(−1, 5)

Answer 1

p: 23.9

a: 24.5

Explanation:

distance formula:
`\sqrt{(x_(2) -x_(1) )^(2) +(y_(2) -y_(1) )^(2) }`

GF: width: (-1,5) (6,5): 6 - (-1) = 7 or
`\sqrt{(6-6)^(2) +(5-(-2)^(2) }`= 7

FE: length: (6,5) (6,-2): 5 - (-2) = 7 or
`\sqrt{(-1-6)^(2) +(5-5)^(2) }`= 7

GE: (-1,5) (6,-2):
`\sqrt{(-1-6)^(2) +(5-(-2)^(2) } = 7√(2) = 9.89949493`

area: (7×7) ÷2 = 49: 49 ÷ 2 = 24.5

perimeter: 7 + 7 + 9.9 = 23.9

Answer 2

24.5, 2 sides are 7 and 7x7=49. then you have to divide by two because it is a triangle so the answer is 24.5