Question

Find the area os the rectangle TOUR

Answer 1

The answer to your question is 80 units²

Explanation:

Data

R = (-6, -6)

U = (6, -2)

O = (4, 4)

T = (-8, 0)

Process

1.- Find the distance between R and U, and the points U and O

dRU =
`\sqrt{6 + 6)^(2) + (-2 + 6)^(2)}`

dRU =
`\sqrt{12^(2) + 4^(2)}`

dRU =
`√(144 + 16)`

dRU =
`√(160)` = 12.65

dUO =
`\sqrt{(4 - 6)^(2) + (4 + 2)^(2)}`

dUO =
`\sqrt{(-2)^(2) + (6)^(2)}`

dUO =
`√(4 + 36)`

dUO =
`√(40)` = 6.32

2.- Find the Area

Area = base x height

-Substitution

Area = 12.65 x 6.32

- Result

Area = 80 units²